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Finding the Fourth Proportional to 12,512.73, 18,744.39 and 9,724.17

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Solution

The fourth proportional to 12,512.73, 18,744.39 and 9,724.17 is: 14,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.73 : 18,744.39 = 9,724.17 : x
  2. Step 2: Convert to fraction form
    12,512.73/18,744.39 = 9,724.17/x
  3. Step 3: Cross multiply
    12,512.73x = 18,744.39 × 9,724.17
  4. Step 4: Simplify right side
    12,512.73x = 182,273,634.91
  5. Step 5: Solve for x
    x = 182,273,634.91/12,512.73
  6. Step 6: Final answer
    x = 14,567.06

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1.5x scale

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.