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Finding the Fourth Proportional to 20,542.40, 30,803.84 and 10,142

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Solution

The fourth proportional to 20,542.40, 30,803.84 and 10,142 is: 15,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.40 : 30,803.84 = 10,142 : x
  2. Step 2: Convert to fraction form
    20,542.40/30,803.84 = 10,142/x
  3. Step 3: Cross multiply
    20,542.40x = 30,803.84 × 10,142
  4. Step 4: Simplify right side
    20,542.40x = 312,412,545.28
  5. Step 5: Solve for x
    x = 312,412,545.28/20,542.40
  6. Step 6: Final answer
    x = 15,208.18

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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.