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Finding the Fourth Proportional to 3,082.56, 4,254 and 1,685.28

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Solution

The fourth proportional to 3,082.56, 4,254 and 1,685.28 is: 2,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.56 : 4,254 = 1,685.28 : x
  2. Step 2: Convert to fraction form
    3,082.56/4,254 = 1,685.28/x
  3. Step 3: Cross multiply
    3,082.56x = 4,254 × 1,685.28
  4. Step 4: Simplify right side
    3,082.56x = 7,169,181.12
  5. Step 5: Solve for x
    x = 7,169,181.12/3,082.56
  6. Step 6: Final answer
    x = 2,325.72

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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.