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Finding the Fourth Proportional to 8,565.64, 12,839.02 and 5,602.86

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Solution

The fourth proportional to 8,565.64, 12,839.02 and 5,602.86 is: 8,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.64 : 12,839.02 = 5,602.86 : x
  2. Step 2: Convert to fraction form
    8,565.64/12,839.02 = 5,602.86/x
  3. Step 3: Cross multiply
    8,565.64x = 12,839.02 × 5,602.86
  4. Step 4: Simplify right side
    8,565.64x = 71,935,231.60
  5. Step 5: Solve for x
    x = 71,935,231.60/8,565.64
  6. Step 6: Final answer
    x = 8,398.12

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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.