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Finding the Fourth Proportional to 19,960.70, 29,898.11 and 9,414.90

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Solution

The fourth proportional to 19,960.70, 29,898.11 and 9,414.90 is: 14,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960.70 : 29,898.11 = 9,414.90 : x
  2. Step 2: Convert to fraction form
    19,960.70/29,898.11 = 9,414.90/x
  3. Step 3: Cross multiply
    19,960.70x = 29,898.11 × 9,414.90
  4. Step 4: Simplify right side
    19,960.70x = 281,487,739.38
  5. Step 5: Solve for x
    x = 281,487,739.38/19,960.70
  6. Step 6: Final answer
    x = 14,102.10

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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.