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Finding the Fourth Proportional to 6,728.31, 9,254.16 and 5,399.10

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Solution

The fourth proportional to 6,728.31, 9,254.16 and 5,399.10 is: 7,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.31 : 9,254.16 = 5,399.10 : x
  2. Step 2: Convert to fraction form
    6,728.31/9,254.16 = 5,399.10/x
  3. Step 3: Cross multiply
    6,728.31x = 9,254.16 × 5,399.10
  4. Step 4: Simplify right side
    6,728.31x = 49,964,135.26
  5. Step 5: Solve for x
    x = 49,964,135.26/6,728.31
  6. Step 6: Final answer
    x = 7,425.96

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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.