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Finding the Fourth Proportional to 3,885.16, 5,824.98 and 1,251.85

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Solution

The fourth proportional to 3,885.16, 5,824.98 and 1,251.85 is: 1,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.16 : 5,824.98 = 1,251.85 : x
  2. Step 2: Convert to fraction form
    3,885.16/5,824.98 = 1,251.85/x
  3. Step 3: Cross multiply
    3,885.16x = 5,824.98 × 1,251.85
  4. Step 4: Simplify right side
    3,885.16x = 7,292,001.21
  5. Step 5: Solve for x
    x = 7,292,001.21/3,885.16
  6. Step 6: Final answer
    x = 1,876.89

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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.