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Finding the Fourth Proportional to 8,175.39, 12,264.90 and 2,981.25

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Solution

The fourth proportional to 8,175.39, 12,264.90 and 2,981.25 is: 4,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.39 : 12,264.90 = 2,981.25 : x
  2. Step 2: Convert to fraction form
    8,175.39/12,264.90 = 2,981.25/x
  3. Step 3: Cross multiply
    8,175.39x = 12,264.90 × 2,981.25
  4. Step 4: Simplify right side
    8,175.39x = 36,564,733.13
  5. Step 5: Solve for x
    x = 36,564,733.13/8,175.39
  6. Step 6: Final answer
    x = 4,472.54

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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.