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Finding the Fourth Proportional to 9,231, 13,851.96 and 3,687

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Solution

The fourth proportional to 9,231, 13,851.96 and 3,687 is: 5,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231 : 13,851.96 = 3,687 : x
  2. Step 2: Convert to fraction form
    9,231/13,851.96 = 3,687/x
  3. Step 3: Cross multiply
    9,231x = 13,851.96 × 3,687
  4. Step 4: Simplify right side
    9,231x = 51,072,176.52
  5. Step 5: Solve for x
    x = 51,072,176.52/9,231
  6. Step 6: Final answer
    x = 5,532.68

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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.