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Finding the Fourth Proportional to 5,600.78, 7,728.92 and 3,082.90

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Solution

The fourth proportional to 5,600.78, 7,728.92 and 3,082.90 is: 4,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.78 : 7,728.92 = 3,082.90 : x
  2. Step 2: Convert to fraction form
    5,600.78/7,728.92 = 3,082.90/x
  3. Step 3: Cross multiply
    5,600.78x = 7,728.92 × 3,082.90
  4. Step 4: Simplify right side
    5,600.78x = 23,827,487.47
  5. Step 5: Solve for x
    x = 23,827,487.47/5,600.78
  6. Step 6: Final answer
    x = 4,254.32

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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.