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Finding the Fourth Proportional to 18,414, 25,411.49 and 10,456.38

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Solution

The fourth proportional to 18,414, 25,411.49 and 10,456.38 is: 14,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414 : 25,411.49 = 10,456.38 : x
  2. Step 2: Convert to fraction form
    18,414/25,411.49 = 10,456.38/x
  3. Step 3: Cross multiply
    18,414x = 25,411.49 × 10,456.38
  4. Step 4: Simplify right side
    18,414x = 265,712,143.52
  5. Step 5: Solve for x
    x = 265,712,143.52/18,414
  6. Step 6: Final answer
    x = 14,429.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.