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Finding the Fourth Proportional to 22,632, 31,231.68 and 12,560.40

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Solution

The fourth proportional to 22,632, 31,231.68 and 12,560.40 is: 17,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632 : 31,231.68 = 12,560.40 : x
  2. Step 2: Convert to fraction form
    22,632/31,231.68 = 12,560.40/x
  3. Step 3: Cross multiply
    22,632x = 31,231.68 × 12,560.40
  4. Step 4: Simplify right side
    22,632x = 392,282,393.47
  5. Step 5: Solve for x
    x = 392,282,393.47/22,632
  6. Step 6: Final answer
    x = 17,333.09

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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.