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Finding the Fourth Proportional to 7,149.69, 10,727.24 and 2,992.50

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Solution

The fourth proportional to 7,149.69, 10,727.24 and 2,992.50 is: 4,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.69 : 10,727.24 = 2,992.50 : x
  2. Step 2: Convert to fraction form
    7,149.69/10,727.24 = 2,992.50/x
  3. Step 3: Cross multiply
    7,149.69x = 10,727.24 × 2,992.50
  4. Step 4: Simplify right side
    7,149.69x = 32,101,250.74
  5. Step 5: Solve for x
    x = 32,101,250.74/7,149.69
  6. Step 6: Final answer
    x = 4,489.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.