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Finding the Fourth Proportional to 32,754, 45,207.82 and 20,815

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Solution

The fourth proportional to 32,754, 45,207.82 and 20,815 is: 28,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754 : 45,207.82 = 20,815 : x
  2. Step 2: Convert to fraction form
    32,754/45,207.82 = 20,815/x
  3. Step 3: Cross multiply
    32,754x = 45,207.82 × 20,815
  4. Step 4: Simplify right side
    32,754x = 941,000,773.30
  5. Step 5: Solve for x
    x = 941,000,773.30/32,754
  6. Step 6: Final answer
    x = 28,729.34

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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.