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Finding the Fourth Proportional to 10,469.80, 15,707.02 and 3,449.53

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Solution

The fourth proportional to 10,469.80, 15,707.02 and 3,449.53 is: 5,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.80 : 15,707.02 = 3,449.53 : x
  2. Step 2: Convert to fraction form
    10,469.80/15,707.02 = 3,449.53/x
  3. Step 3: Cross multiply
    10,469.80x = 15,707.02 × 3,449.53
  4. Step 4: Simplify right side
    10,469.80x = 54,181,875.97
  5. Step 5: Solve for x
    x = 54,181,875.97/10,469.80
  6. Step 6: Final answer
    x = 5,175.06

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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.