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Finding the Fourth Proportional to 11,181.52, 15,432 and 7,404.16

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Solution

The fourth proportional to 11,181.52, 15,432 and 7,404.16 is: 10,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.52 : 15,432 = 7,404.16 : x
  2. Step 2: Convert to fraction form
    11,181.52/15,432 = 7,404.16/x
  3. Step 3: Cross multiply
    11,181.52x = 15,432 × 7,404.16
  4. Step 4: Simplify right side
    11,181.52x = 114,260,997.12
  5. Step 5: Solve for x
    x = 114,260,997.12/11,181.52
  6. Step 6: Final answer
    x = 10,218.74

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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.