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Finding the Fourth Proportional to 5,582.88, 8,375.76 and 2,118.24

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Solution

The fourth proportional to 5,582.88, 8,375.76 and 2,118.24 is: 3,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.88 : 8,375.76 = 2,118.24 : x
  2. Step 2: Convert to fraction form
    5,582.88/8,375.76 = 2,118.24/x
  3. Step 3: Cross multiply
    5,582.88x = 8,375.76 × 2,118.24
  4. Step 4: Simplify right side
    5,582.88x = 17,741,869.86
  5. Step 5: Solve for x
    x = 17,741,869.86/5,582.88
  6. Step 6: Final answer
    x = 3,177.91

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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.