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Finding the Fourth Proportional to 2,314.35, 3,470.50 and 1,082.11

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Solution

The fourth proportional to 2,314.35, 3,470.50 and 1,082.11 is: 1,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.35 : 3,470.50 = 1,082.11 : x
  2. Step 2: Convert to fraction form
    2,314.35/3,470.50 = 1,082.11/x
  3. Step 3: Cross multiply
    2,314.35x = 3,470.50 × 1,082.11
  4. Step 4: Simplify right side
    2,314.35x = 3,755,455.85
  5. Step 5: Solve for x
    x = 3,755,455.85/2,314.35
  6. Step 6: Final answer
    x = 1,622.68

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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.