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Finding the Fourth Proportional to 16,543.72, 24,813.15 and 8,220.97

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Solution

The fourth proportional to 16,543.72, 24,813.15 and 8,220.97 is: 12,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.72 : 24,813.15 = 8,220.97 : x
  2. Step 2: Convert to fraction form
    16,543.72/24,813.15 = 8,220.97/x
  3. Step 3: Cross multiply
    16,543.72x = 24,813.15 × 8,220.97
  4. Step 4: Simplify right side
    16,543.72x = 203,988,161.76
  5. Step 5: Solve for x
    x = 203,988,161.76/16,543.72
  6. Step 6: Final answer
    x = 12,330.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.