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Finding the Fourth Proportional to 21,872.25, 32,804.82 and 7,829.87

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Solution

The fourth proportional to 21,872.25, 32,804.82 and 7,829.87 is: 11,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.25 : 32,804.82 = 7,829.87 : x
  2. Step 2: Convert to fraction form
    21,872.25/32,804.82 = 7,829.87/x
  3. Step 3: Cross multiply
    21,872.25x = 32,804.82 × 7,829.87
  4. Step 4: Simplify right side
    21,872.25x = 256,857,311.95
  5. Step 5: Solve for x
    x = 256,857,311.95/21,872.25
  6. Step 6: Final answer
    x = 11,743.52

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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.