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Finding the Fourth Proportional to 19,764.10, 29,645.99 and 8,069.12

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Solution

The fourth proportional to 19,764.10, 29,645.99 and 8,069.12 is: 12,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.10 : 29,645.99 = 8,069.12 : x
  2. Step 2: Convert to fraction form
    19,764.10/29,645.99 = 8,069.12/x
  3. Step 3: Cross multiply
    19,764.10x = 29,645.99 × 8,069.12
  4. Step 4: Simplify right side
    19,764.10x = 239,216,862.25
  5. Step 5: Solve for x
    x = 239,216,862.25/19,764.10
  6. Step 6: Final answer
    x = 12,103.61

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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.