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Finding the Fourth Proportional to 21,657.62, 32,489.52 and 6,867.82

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Solution

The fourth proportional to 21,657.62, 32,489.52 and 6,867.82 is: 10,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.62 : 32,489.52 = 6,867.82 : x
  2. Step 2: Convert to fraction form
    21,657.62/32,489.52 = 6,867.82/x
  3. Step 3: Cross multiply
    21,657.62x = 32,489.52 × 6,867.82
  4. Step 4: Simplify right side
    21,657.62x = 223,132,175.25
  5. Step 5: Solve for x
    x = 223,132,175.25/21,657.62
  6. Step 6: Final answer
    x = 10,302.71

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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.