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Finding the Fourth Proportional to 7,821.13, 11,650.22 and 7,405.60

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Solution

The fourth proportional to 7,821.13, 11,650.22 and 7,405.60 is: 11,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.13 : 11,650.22 = 7,405.60 : x
  2. Step 2: Convert to fraction form
    7,821.13/11,650.22 = 7,405.60/x
  3. Step 3: Cross multiply
    7,821.13x = 11,650.22 × 7,405.60
  4. Step 4: Simplify right side
    7,821.13x = 86,276,869.23
  5. Step 5: Solve for x
    x = 86,276,869.23/7,821.13
  6. Step 6: Final answer
    x = 11,031.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.