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Finding the Fourth Proportional to 19,963.43, 29,945.15 and 9,429.99

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Solution

The fourth proportional to 19,963.43, 29,945.15 and 9,429.99 is: 14,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963.43 : 29,945.15 = 9,429.99 : x
  2. Step 2: Convert to fraction form
    19,963.43/29,945.15 = 9,429.99/x
  3. Step 3: Cross multiply
    19,963.43x = 29,945.15 × 9,429.99
  4. Step 4: Simplify right side
    19,963.43x = 282,382,417.90
  5. Step 5: Solve for x
    x = 282,382,417.90/19,963.43
  6. Step 6: Final answer
    x = 14,144.99

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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.