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Finding the Fourth Proportional to 3,082.70, 4,254.12 and 1,685.42

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Solution

The fourth proportional to 3,082.70, 4,254.12 and 1,685.42 is: 2,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.70 : 4,254.12 = 1,685.42 : x
  2. Step 2: Convert to fraction form
    3,082.70/4,254.12 = 1,685.42/x
  3. Step 3: Cross multiply
    3,082.70x = 4,254.12 × 1,685.42
  4. Step 4: Simplify right side
    3,082.70x = 7,169,978.93
  5. Step 5: Solve for x
    x = 7,169,978.93/3,082.70
  6. Step 6: Final answer
    x = 2,325.88

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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.