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Finding the Fourth Proportional to 3,952.38, 5,930.95 and 1,580.04

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Solution

The fourth proportional to 3,952.38, 5,930.95 and 1,580.04 is: 2,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.38 : 5,930.95 = 1,580.04 : x
  2. Step 2: Convert to fraction form
    3,952.38/5,930.95 = 1,580.04/x
  3. Step 3: Cross multiply
    3,952.38x = 5,930.95 × 1,580.04
  4. Step 4: Simplify right side
    3,952.38x = 9,371,123.17
  5. Step 5: Solve for x
    x = 9,371,123.17/3,952.38
  6. Step 6: Final answer
    x = 2,371.01

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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.