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Finding the Fourth Proportional to 7,872.54, 11,781.45 and 5,559.90

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Solution

The fourth proportional to 7,872.54, 11,781.45 and 5,559.90 is: 8,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.54 : 11,781.45 = 5,559.90 : x
  2. Step 2: Convert to fraction form
    7,872.54/11,781.45 = 5,559.90/x
  3. Step 3: Cross multiply
    7,872.54x = 11,781.45 × 5,559.90
  4. Step 4: Simplify right side
    7,872.54x = 65,503,683.86
  5. Step 5: Solve for x
    x = 65,503,683.86/7,872.54
  6. Step 6: Final answer
    x = 8,320.53

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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.