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Finding the Fourth Proportional to 19,876, 29,813.92 and 15,496.68

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Solution

The fourth proportional to 19,876, 29,813.92 and 15,496.68 is: 23,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876 : 29,813.92 = 15,496.68 : x
  2. Step 2: Convert to fraction form
    19,876/29,813.92 = 15,496.68/x
  3. Step 3: Cross multiply
    19,876x = 29,813.92 × 15,496.68
  4. Step 4: Simplify right side
    19,876x = 462,016,777.79
  5. Step 5: Solve for x
    x = 462,016,777.79/19,876
  6. Step 6: Final answer
    x = 23,244.96

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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.