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Finding the Fourth Proportional to 7,174.14, 9,900 and 4,342.20

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Solution

The fourth proportional to 7,174.14, 9,900 and 4,342.20 is: 5,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.14 : 9,900 = 4,342.20 : x
  2. Step 2: Convert to fraction form
    7,174.14/9,900 = 4,342.20/x
  3. Step 3: Cross multiply
    7,174.14x = 9,900 × 4,342.20
  4. Step 4: Simplify right side
    7,174.14x = 42,987,780
  5. Step 5: Solve for x
    x = 42,987,780/7,174.14
  6. Step 6: Final answer
    x = 5,992.05

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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.