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Finding the Fourth Proportional to 19,778.70, 29,642.13 and 8,078.52

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Solution

The fourth proportional to 19,778.70, 29,642.13 and 8,078.52 is: 12,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.70 : 29,642.13 = 8,078.52 : x
  2. Step 2: Convert to fraction form
    19,778.70/29,642.13 = 8,078.52/x
  3. Step 3: Cross multiply
    19,778.70x = 29,642.13 × 8,078.52
  4. Step 4: Simplify right side
    19,778.70x = 239,464,540.05
  5. Step 5: Solve for x
    x = 239,464,540.05/19,778.70
  6. Step 6: Final answer
    x = 12,107.19

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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.