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Finding the Fourth Proportional to 3,921.50, 5,882.10 and 1,580.78

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Solution

The fourth proportional to 3,921.50, 5,882.10 and 1,580.78 is: 2,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.50 : 5,882.10 = 1,580.78 : x
  2. Step 2: Convert to fraction form
    3,921.50/5,882.10 = 1,580.78/x
  3. Step 3: Cross multiply
    3,921.50x = 5,882.10 × 1,580.78
  4. Step 4: Simplify right side
    3,921.50x = 9,298,306.04
  5. Step 5: Solve for x
    x = 9,298,306.04/3,921.50
  6. Step 6: Final answer
    x = 2,371.11

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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.