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Finding the Fourth Proportional to 7,129.92, 10,695.05 and 2,449.89

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Solution

The fourth proportional to 7,129.92, 10,695.05 and 2,449.89 is: 3,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.92 : 10,695.05 = 2,449.89 : x
  2. Step 2: Convert to fraction form
    7,129.92/10,695.05 = 2,449.89/x
  3. Step 3: Cross multiply
    7,129.92x = 10,695.05 × 2,449.89
  4. Step 4: Simplify right side
    7,129.92x = 26,201,683.80
  5. Step 5: Solve for x
    x = 26,201,683.80/7,129.92
  6. Step 6: Final answer
    x = 3,674.89

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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.