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Finding the Fourth Proportional to 10,565.64, 15,837.12 and 5,375.16

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Solution

The fourth proportional to 10,565.64, 15,837.12 and 5,375.16 is: 8,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.64 : 15,837.12 = 5,375.16 : x
  2. Step 2: Convert to fraction form
    10,565.64/15,837.12 = 5,375.16/x
  3. Step 3: Cross multiply
    10,565.64x = 15,837.12 × 5,375.16
  4. Step 4: Simplify right side
    10,565.64x = 85,127,053.94
  5. Step 5: Solve for x
    x = 85,127,053.94/10,565.64
  6. Step 6: Final answer
    x = 8,056.97

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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.