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Finding the Fourth Proportional to 14,616.78, 20,187.48 and 9,892.86

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Solution

The fourth proportional to 14,616.78, 20,187.48 and 9,892.86 is: 13,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.78 : 20,187.48 = 9,892.86 : x
  2. Step 2: Convert to fraction form
    14,616.78/20,187.48 = 9,892.86/x
  3. Step 3: Cross multiply
    14,616.78x = 20,187.48 × 9,892.86
  4. Step 4: Simplify right side
    14,616.78x = 199,711,913.39
  5. Step 5: Solve for x
    x = 199,711,913.39/14,616.78
  6. Step 6: Final answer
    x = 13,663.19

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1.5x scale

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.