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Finding the Fourth Proportional to 7,174.28, 9,900.42 and 4,031

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Solution

The fourth proportional to 7,174.28, 9,900.42 and 4,031 is: 5,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.28 : 9,900.42 = 4,031 : x
  2. Step 2: Convert to fraction form
    7,174.28/9,900.42 = 4,031/x
  3. Step 3: Cross multiply
    7,174.28x = 9,900.42 × 4,031
  4. Step 4: Simplify right side
    7,174.28x = 39,908,593.02
  5. Step 5: Solve for x
    x = 39,908,593.02/7,174.28
  6. Step 6: Final answer
    x = 5,562.73

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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.