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Finding the Fourth Proportional to 21,794.50, 32,691.75 and 5,378.50

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Solution

The fourth proportional to 21,794.50, 32,691.75 and 5,378.50 is: 8,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.50 : 32,691.75 = 5,378.50 : x
  2. Step 2: Convert to fraction form
    21,794.50/32,691.75 = 5,378.50/x
  3. Step 3: Cross multiply
    21,794.50x = 32,691.75 × 5,378.50
  4. Step 4: Simplify right side
    21,794.50x = 175,832,577.38
  5. Step 5: Solve for x
    x = 175,832,577.38/21,794.50
  6. Step 6: Final answer
    x = 8,067.75

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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.