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Finding the Fourth Proportional to 19,691.76, 29,518.92 and 12,651.96

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Solution

The fourth proportional to 19,691.76, 29,518.92 and 12,651.96 is: 18,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.76 : 29,518.92 = 12,651.96 : x
  2. Step 2: Convert to fraction form
    19,691.76/29,518.92 = 12,651.96/x
  3. Step 3: Cross multiply
    19,691.76x = 29,518.92 × 12,651.96
  4. Step 4: Simplify right side
    19,691.76x = 373,472,195.08
  5. Step 5: Solve for x
    x = 373,472,195.08/19,691.76
  6. Step 6: Final answer
    x = 18,965.91

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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.