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Finding the Fourth Proportional to 5,269, 7,900.89 and 1,757.80

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Solution

The fourth proportional to 5,269, 7,900.89 and 1,757.80 is: 2,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269 : 7,900.89 = 1,757.80 : x
  2. Step 2: Convert to fraction form
    5,269/7,900.89 = 1,757.80/x
  3. Step 3: Cross multiply
    5,269x = 7,900.89 × 1,757.80
  4. Step 4: Simplify right side
    5,269x = 13,888,184.44
  5. Step 5: Solve for x
    x = 13,888,184.44/5,269
  6. Step 6: Final answer
    x = 2,635.83

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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.