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Finding the Fourth Proportional to 5,082.56, 7,013.76 and 2,874.56

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Solution

The fourth proportional to 5,082.56, 7,013.76 and 2,874.56 is: 3,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.56 : 7,013.76 = 2,874.56 : x
  2. Step 2: Convert to fraction form
    5,082.56/7,013.76 = 2,874.56/x
  3. Step 3: Cross multiply
    5,082.56x = 7,013.76 × 2,874.56
  4. Step 4: Simplify right side
    5,082.56x = 20,161,473.95
  5. Step 5: Solve for x
    x = 20,161,473.95/5,082.56
  6. Step 6: Final answer
    x = 3,966.80

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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.