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Finding the Fourth Proportional to 15,853, 23,781.12 and 5,464.75

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Solution

The fourth proportional to 15,853, 23,781.12 and 5,464.75 is: 8,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853 : 23,781.12 = 5,464.75 : x
  2. Step 2: Convert to fraction form
    15,853/23,781.12 = 5,464.75/x
  3. Step 3: Cross multiply
    15,853x = 23,781.12 × 5,464.75
  4. Step 4: Simplify right side
    15,853x = 129,957,875.52
  5. Step 5: Solve for x
    x = 129,957,875.52/15,853
  6. Step 6: Final answer
    x = 8,197.68

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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.