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Finding the Fourth Proportional to 3,612.38, 5,418.56 and 876.38

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Solution

The fourth proportional to 3,612.38, 5,418.56 and 876.38 is: 1,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.38 : 5,418.56 = 876.38 : x
  2. Step 2: Convert to fraction form
    3,612.38/5,418.56 = 876.38/x
  3. Step 3: Cross multiply
    3,612.38x = 5,418.56 × 876.38
  4. Step 4: Simplify right side
    3,612.38x = 4,748,692.71
  5. Step 5: Solve for x
    x = 4,748,692.71/3,612.38
  6. Step 6: Final answer
    x = 1,314.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.