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Finding the Fourth Proportional to 32,787, 45,229.86 and 20,682

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Solution

The fourth proportional to 32,787, 45,229.86 and 20,682 is: 28,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,787 : 45,229.86 = 20,682 : x
  2. Step 2: Convert to fraction form
    32,787/45,229.86 = 20,682/x
  3. Step 3: Cross multiply
    32,787x = 45,229.86 × 20,682
  4. Step 4: Simplify right side
    32,787x = 935,443,964.52
  5. Step 5: Solve for x
    x = 935,443,964.52/32,787
  6. Step 6: Final answer
    x = 28,530.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.