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Finding the Fourth Proportional to 14,781, 20,397.78 and 8,157

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Solution

The fourth proportional to 14,781, 20,397.78 and 8,157 is: 11,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781 : 20,397.78 = 8,157 : x
  2. Step 2: Convert to fraction form
    14,781/20,397.78 = 8,157/x
  3. Step 3: Cross multiply
    14,781x = 20,397.78 × 8,157
  4. Step 4: Simplify right side
    14,781x = 166,384,691.46
  5. Step 5: Solve for x
    x = 166,384,691.46/14,781
  6. Step 6: Final answer
    x = 11,256.66

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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.