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Finding the Fourth Proportional to 20,248.36, 30,375.42 and 9,853

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Solution

The fourth proportional to 20,248.36, 30,375.42 and 9,853 is: 14,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,248.36 : 30,375.42 = 9,853 : x
  2. Step 2: Convert to fraction form
    20,248.36/30,375.42 = 9,853/x
  3. Step 3: Cross multiply
    20,248.36x = 30,375.42 × 9,853
  4. Step 4: Simplify right side
    20,248.36x = 299,289,013.26
  5. Step 5: Solve for x
    x = 299,289,013.26/20,248.36
  6. Step 6: Final answer
    x = 14,780.90

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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.