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Finding the Fourth Proportional to 12,503.80, 18,758.13 and 3,738.52

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Solution

The fourth proportional to 12,503.80, 18,758.13 and 3,738.52 is: 5,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.80 : 18,758.13 = 3,738.52 : x
  2. Step 2: Convert to fraction form
    12,503.80/18,758.13 = 3,738.52/x
  3. Step 3: Cross multiply
    12,503.80x = 18,758.13 × 3,738.52
  4. Step 4: Simplify right side
    12,503.80x = 70,127,644.17
  5. Step 5: Solve for x
    x = 70,127,644.17/12,503.80
  6. Step 6: Final answer
    x = 5,608.51

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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.