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Finding the Fourth Proportional to 21,793.65, 32,685.61 and 8,642.49

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Solution

The fourth proportional to 21,793.65, 32,685.61 and 8,642.49 is: 12,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793.65 : 32,685.61 = 8,642.49 : x
  2. Step 2: Convert to fraction form
    21,793.65/32,685.61 = 8,642.49/x
  3. Step 3: Cross multiply
    21,793.65x = 32,685.61 × 8,642.49
  4. Step 4: Simplify right side
    21,793.65x = 282,485,057.57
  5. Step 5: Solve for x
    x = 282,485,057.57/21,793.65
  6. Step 6: Final answer
    x = 12,961.81

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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.