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Finding the Fourth Proportional to 5,375.88, 8,065.84 and 2,089.16

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Solution

The fourth proportional to 5,375.88, 8,065.84 and 2,089.16 is: 3,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.88 : 8,065.84 = 2,089.16 : x
  2. Step 2: Convert to fraction form
    5,375.88/8,065.84 = 2,089.16/x
  3. Step 3: Cross multiply
    5,375.88x = 8,065.84 × 2,089.16
  4. Step 4: Simplify right side
    5,375.88x = 16,850,830.29
  5. Step 5: Solve for x
    x = 16,850,830.29/5,375.88
  6. Step 6: Final answer
    x = 3,134.53

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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.