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Finding the Fourth Proportional to 15,310.62, 22,982.13 and 12,871.71

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Solution

The fourth proportional to 15,310.62, 22,982.13 and 12,871.71 is: 19,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310.62 : 22,982.13 = 12,871.71 : x
  2. Step 2: Convert to fraction form
    15,310.62/22,982.13 = 12,871.71/x
  3. Step 3: Cross multiply
    15,310.62x = 22,982.13 × 12,871.71
  4. Step 4: Simplify right side
    15,310.62x = 295,819,312.54
  5. Step 5: Solve for x
    x = 295,819,312.54/15,310.62
  6. Step 6: Final answer
    x = 19,321.18

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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.