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Finding the Fourth Proportional to 2,381.32, 3,572.39 and 1,082.89

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Solution

The fourth proportional to 2,381.32, 3,572.39 and 1,082.89 is: 1,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.32 : 3,572.39 = 1,082.89 : x
  2. Step 2: Convert to fraction form
    2,381.32/3,572.39 = 1,082.89/x
  3. Step 3: Cross multiply
    2,381.32x = 3,572.39 × 1,082.89
  4. Step 4: Simplify right side
    2,381.32x = 3,868,505.41
  5. Step 5: Solve for x
    x = 3,868,505.41/2,381.32
  6. Step 6: Final answer
    x = 1,624.52

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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.