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Finding the Fourth Proportional to 21,882, 32,824.60 and 8,032.40

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Solution

The fourth proportional to 21,882, 32,824.60 and 8,032.40 is: 12,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882 : 32,824.60 = 8,032.40 : x
  2. Step 2: Convert to fraction form
    21,882/32,824.60 = 8,032.40/x
  3. Step 3: Cross multiply
    21,882x = 32,824.60 × 8,032.40
  4. Step 4: Simplify right side
    21,882x = 263,660,317.04
  5. Step 5: Solve for x
    x = 263,660,317.04/21,882
  6. Step 6: Final answer
    x = 12,049.19

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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.