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Finding the Fourth Proportional to 21,399.81, 32,104.98 and 8,253.11

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Solution

The fourth proportional to 21,399.81, 32,104.98 and 8,253.11 is: 12,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,399.81 : 32,104.98 = 8,253.11 : x
  2. Step 2: Convert to fraction form
    21,399.81/32,104.98 = 8,253.11/x
  3. Step 3: Cross multiply
    21,399.81x = 32,104.98 × 8,253.11
  4. Step 4: Simplify right side
    21,399.81x = 264,965,770.96
  5. Step 5: Solve for x
    x = 264,965,770.96/21,399.81
  6. Step 6: Final answer
    x = 12,381.69

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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.