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Finding the Fourth Proportional to 10,119.92, 15,173 and 3,542.48

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Solution

The fourth proportional to 10,119.92, 15,173 and 3,542.48 is: 5,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.92 : 15,173 = 3,542.48 : x
  2. Step 2: Convert to fraction form
    10,119.92/15,173 = 3,542.48/x
  3. Step 3: Cross multiply
    10,119.92x = 15,173 × 3,542.48
  4. Step 4: Simplify right side
    10,119.92x = 53,750,049.04
  5. Step 5: Solve for x
    x = 53,750,049.04/10,119.92
  6. Step 6: Final answer
    x = 5,311.31

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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.