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Finding the Fourth Proportional to 10,646.13, 15,943.41 and 9,077.16

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Solution

The fourth proportional to 10,646.13, 15,943.41 and 9,077.16 is: 13,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.13 : 15,943.41 = 9,077.16 : x
  2. Step 2: Convert to fraction form
    10,646.13/15,943.41 = 9,077.16/x
  3. Step 3: Cross multiply
    10,646.13x = 15,943.41 × 9,077.16
  4. Step 4: Simplify right side
    10,646.13x = 144,720,883.52
  5. Step 5: Solve for x
    x = 144,720,883.52/10,646.13
  6. Step 6: Final answer
    x = 13,593.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.