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Finding the Fourth Proportional to 14,866, 20,513.72 and 8,151.52

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Solution

The fourth proportional to 14,866, 20,513.72 and 8,151.52 is: 11,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866 : 20,513.72 = 8,151.52 : x
  2. Step 2: Convert to fraction form
    14,866/20,513.72 = 8,151.52/x
  3. Step 3: Cross multiply
    14,866x = 20,513.72 × 8,151.52
  4. Step 4: Simplify right side
    14,866x = 167,217,998.85
  5. Step 5: Solve for x
    x = 167,217,998.85/14,866
  6. Step 6: Final answer
    x = 11,248.35

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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.