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Finding the Fourth Proportional to 19,870, 29,759.64 and 9,489.04

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Solution

The fourth proportional to 19,870, 29,759.64 and 9,489.04 is: 14,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870 : 29,759.64 = 9,489.04 : x
  2. Step 2: Convert to fraction form
    19,870/29,759.64 = 9,489.04/x
  3. Step 3: Cross multiply
    19,870x = 29,759.64 × 9,489.04
  4. Step 4: Simplify right side
    19,870x = 282,390,414.35
  5. Step 5: Solve for x
    x = 282,390,414.35/19,870
  6. Step 6: Final answer
    x = 14,211.90

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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.