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Finding the Fourth Proportional to 3,387.78, 5,082.14 and 1,047.97

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Solution

The fourth proportional to 3,387.78, 5,082.14 and 1,047.97 is: 1,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.78 : 5,082.14 = 1,047.97 : x
  2. Step 2: Convert to fraction form
    3,387.78/5,082.14 = 1,047.97/x
  3. Step 3: Cross multiply
    3,387.78x = 5,082.14 × 1,047.97
  4. Step 4: Simplify right side
    3,387.78x = 5,325,930.26
  5. Step 5: Solve for x
    x = 5,325,930.26/3,387.78
  6. Step 6: Final answer
    x = 1,572.10

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1.5x scale

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.