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Finding the Fourth Proportional to 21,872.31, 32,808.97 and 7,833.30

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Solution

The fourth proportional to 21,872.31, 32,808.97 and 7,833.30 is: 11,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.31 : 32,808.97 = 7,833.30 : x
  2. Step 2: Convert to fraction form
    21,872.31/32,808.97 = 7,833.30/x
  3. Step 3: Cross multiply
    21,872.31x = 32,808.97 × 7,833.30
  4. Step 4: Simplify right side
    21,872.31x = 257,002,504.70
  5. Step 5: Solve for x
    x = 257,002,504.70/21,872.31
  6. Step 6: Final answer
    x = 11,750.13

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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.