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Finding the Fourth Proportional to 11,387.52, 15,714 and 9,035.28

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Solution

The fourth proportional to 11,387.52, 15,714 and 9,035.28 is: 12,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.52 : 15,714 = 9,035.28 : x
  2. Step 2: Convert to fraction form
    11,387.52/15,714 = 9,035.28/x
  3. Step 3: Cross multiply
    11,387.52x = 15,714 × 9,035.28
  4. Step 4: Simplify right side
    11,387.52x = 141,980,389.92
  5. Step 5: Solve for x
    x = 141,980,389.92/11,387.52
  6. Step 6: Final answer
    x = 12,468.07

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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.