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Finding the Fourth Proportional to 20,252, 30,375.12 and 7,103.84

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Solution

The fourth proportional to 20,252, 30,375.12 and 7,103.84 is: 10,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252 : 30,375.12 = 7,103.84 : x
  2. Step 2: Convert to fraction form
    20,252/30,375.12 = 7,103.84/x
  3. Step 3: Cross multiply
    20,252x = 30,375.12 × 7,103.84
  4. Step 4: Simplify right side
    20,252x = 215,779,992.46
  5. Step 5: Solve for x
    x = 215,779,992.46/20,252
  6. Step 6: Final answer
    x = 10,654.75

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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.