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Finding the Fourth Proportional to 13,732.52, 18,956.07 and 8,434.52

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Solution

The fourth proportional to 13,732.52, 18,956.07 and 8,434.52 is: 11,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.52 : 18,956.07 = 8,434.52 : x
  2. Step 2: Convert to fraction form
    13,732.52/18,956.07 = 8,434.52/x
  3. Step 3: Cross multiply
    13,732.52x = 18,956.07 × 8,434.52
  4. Step 4: Simplify right side
    13,732.52x = 159,885,351.54
  5. Step 5: Solve for x
    x = 159,885,351.54/13,732.52
  6. Step 6: Final answer
    x = 11,642.83

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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.