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Finding the Fourth Proportional to 19,780.52, 29,675.52 and 8,093.75

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Solution

The fourth proportional to 19,780.52, 29,675.52 and 8,093.75 is: 12,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.52 : 29,675.52 = 8,093.75 : x
  2. Step 2: Convert to fraction form
    19,780.52/29,675.52 = 8,093.75/x
  3. Step 3: Cross multiply
    19,780.52x = 29,675.52 × 8,093.75
  4. Step 4: Simplify right side
    19,780.52x = 240,186,091.62
  5. Step 5: Solve for x
    x = 240,186,091.62/19,780.52
  6. Step 6: Final answer
    x = 12,142.56

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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.