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Finding the Fourth Proportional to 7,841.88, 10,822.14 and 4,305.22

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Solution

The fourth proportional to 7,841.88, 10,822.14 and 4,305.22 is: 5,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.88 : 10,822.14 = 4,305.22 : x
  2. Step 2: Convert to fraction form
    7,841.88/10,822.14 = 4,305.22/x
  3. Step 3: Cross multiply
    7,841.88x = 10,822.14 × 4,305.22
  4. Step 4: Simplify right side
    7,841.88x = 46,591,666.52
  5. Step 5: Solve for x
    x = 46,591,666.52/7,841.88
  6. Step 6: Final answer
    x = 5,941.39

Related Problems

Find fourth proportional to 3,920.94, 5,411.07 and 2,152.61
Half scale
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Double scale
Find fourth proportional to 7,842.88, 10,823.52 and 4,306.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.