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Finding the Fourth Proportional to 5,942.76, 8,194.11 and 4,820.22

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Solution

The fourth proportional to 5,942.76, 8,194.11 and 4,820.22 is: 6,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.76 : 8,194.11 = 4,820.22 : x
  2. Step 2: Convert to fraction form
    5,942.76/8,194.11 = 4,820.22/x
  3. Step 3: Cross multiply
    5,942.76x = 8,194.11 × 4,820.22
  4. Step 4: Simplify right side
    5,942.76x = 39,497,412.90
  5. Step 5: Solve for x
    x = 39,497,412.90/5,942.76
  6. Step 6: Final answer
    x = 6,646.31

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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.