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Finding the Fourth Proportional to 20,671.72, 30,989.12 and 7,514.83

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Solution

The fourth proportional to 20,671.72, 30,989.12 and 7,514.83 is: 11,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.72 : 30,989.12 = 7,514.83 : x
  2. Step 2: Convert to fraction form
    20,671.72/30,989.12 = 7,514.83/x
  3. Step 3: Cross multiply
    20,671.72x = 30,989.12 × 7,514.83
  4. Step 4: Simplify right side
    20,671.72x = 232,877,885.32
  5. Step 5: Solve for x
    x = 232,877,885.32/20,671.72
  6. Step 6: Final answer
    x = 11,265.53

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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.