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Finding the Fourth Proportional to 21,926.72, 32,881.92 and 7,882.92

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Solution

The fourth proportional to 21,926.72, 32,881.92 and 7,882.92 is: 11,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.72 : 32,881.92 = 7,882.92 : x
  2. Step 2: Convert to fraction form
    21,926.72/32,881.92 = 7,882.92/x
  3. Step 3: Cross multiply
    21,926.72x = 32,881.92 × 7,882.92
  4. Step 4: Simplify right side
    21,926.72x = 259,205,340.98
  5. Step 5: Solve for x
    x = 259,205,340.98/21,926.72
  6. Step 6: Final answer
    x = 11,821.44

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1.5x scale

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.