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Finding the Fourth Proportional to 7,174.88, 9,902.28 and 4,031.24

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Solution

The fourth proportional to 7,174.88, 9,902.28 and 4,031.24 is: 5,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.88 : 9,902.28 = 4,031.24 : x
  2. Step 2: Convert to fraction form
    7,174.88/9,902.28 = 4,031.24/x
  3. Step 3: Cross multiply
    7,174.88x = 9,902.28 × 4,031.24
  4. Step 4: Simplify right side
    7,174.88x = 39,918,467.23
  5. Step 5: Solve for x
    x = 39,918,467.23/7,174.88
  6. Step 6: Final answer
    x = 5,563.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.