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Finding the Fourth Proportional to 7,531.28, 10,393.24 and 4,174.16

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Solution

The fourth proportional to 7,531.28, 10,393.24 and 4,174.16 is: 5,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.28 : 10,393.24 = 4,174.16 : x
  2. Step 2: Convert to fraction form
    7,531.28/10,393.24 = 4,174.16/x
  3. Step 3: Cross multiply
    7,531.28x = 10,393.24 × 4,174.16
  4. Step 4: Simplify right side
    7,531.28x = 43,382,984.28
  5. Step 5: Solve for x
    x = 43,382,984.28/7,531.28
  6. Step 6: Final answer
    x = 5,760.38

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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.