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Finding the Fourth Proportional to 20,521.76, 30,764.00 and 7,371

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Solution

The fourth proportional to 20,521.76, 30,764.00 and 7,371 is: 11,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.76 : 30,764.00 = 7,371 : x
  2. Step 2: Convert to fraction form
    20,521.76/30,764.00 = 7,371/x
  3. Step 3: Cross multiply
    20,521.76x = 30,764.00 × 7,371
  4. Step 4: Simplify right side
    20,521.76x = 226,761,462.43
  5. Step 5: Solve for x
    x = 226,761,462.43/20,521.76
  6. Step 6: Final answer
    x = 11,049.81

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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.