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Finding the Fourth Proportional to 19,764.86, 29,647.11 and 8,069.87

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Solution

The fourth proportional to 19,764.86, 29,647.11 and 8,069.87 is: 12,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.86 : 29,647.11 = 8,069.87 : x
  2. Step 2: Convert to fraction form
    19,764.86/29,647.11 = 8,069.87/x
  3. Step 3: Cross multiply
    19,764.86x = 29,647.11 × 8,069.87
  4. Step 4: Simplify right side
    19,764.86x = 239,248,175.34
  5. Step 5: Solve for x
    x = 239,248,175.34/19,764.86
  6. Step 6: Final answer
    x = 12,104.73

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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.