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Finding the Fourth Proportional to 5,781.40, 7,974.55 and 4,082.39

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Solution

The fourth proportional to 5,781.40, 7,974.55 and 4,082.39 is: 5,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.40 : 7,974.55 = 4,082.39 : x
  2. Step 2: Convert to fraction form
    5,781.40/7,974.55 = 4,082.39/x
  3. Step 3: Cross multiply
    5,781.40x = 7,974.55 × 4,082.39
  4. Step 4: Simplify right side
    5,781.40x = 32,555,240.20
  5. Step 5: Solve for x
    x = 32,555,240.20/5,781.40
  6. Step 6: Final answer
    x = 5,631.03

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1.5x scale

Why These Related Problems?

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