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Finding the Fourth Proportional to 5,972.30, 8,239.89 and 3,581.78

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Solution

The fourth proportional to 5,972.30, 8,239.89 and 3,581.78 is: 4,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.30 : 8,239.89 = 3,581.78 : x
  2. Step 2: Convert to fraction form
    5,972.30/8,239.89 = 3,581.78/x
  3. Step 3: Cross multiply
    5,972.30x = 8,239.89 × 3,581.78
  4. Step 4: Simplify right side
    5,972.30x = 29,513,473.20
  5. Step 5: Solve for x
    x = 29,513,473.20/5,972.30
  6. Step 6: Final answer
    x = 4,941.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.