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Finding the Fourth Proportional to 12,753, 19,132.20 and 3,988.57

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Solution

The fourth proportional to 12,753, 19,132.20 and 3,988.57 is: 5,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753 : 19,132.20 = 3,988.57 : x
  2. Step 2: Convert to fraction form
    12,753/19,132.20 = 3,988.57/x
  3. Step 3: Cross multiply
    12,753x = 19,132.20 × 3,988.57
  4. Step 4: Simplify right side
    12,753x = 76,310,118.95
  5. Step 5: Solve for x
    x = 76,310,118.95/12,753
  6. Step 6: Final answer
    x = 5,983.70

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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.