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Finding the Fourth Proportional to 19,123.97, 28,697.18 and 8,029.80

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Solution

The fourth proportional to 19,123.97, 28,697.18 and 8,029.80 is: 12,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,123.97 : 28,697.18 = 8,029.80 : x
  2. Step 2: Convert to fraction form
    19,123.97/28,697.18 = 8,029.80/x
  3. Step 3: Cross multiply
    19,123.97x = 28,697.18 × 8,029.80
  4. Step 4: Simplify right side
    19,123.97x = 230,432,575.82
  5. Step 5: Solve for x
    x = 230,432,575.82/19,123.97
  6. Step 6: Final answer
    x = 12,049.41

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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.