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Finding the Fourth Proportional to 5,166.55, 7,750.98 and 1,879.63

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Solution

The fourth proportional to 5,166.55, 7,750.98 and 1,879.63 is: 2,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.55 : 7,750.98 = 1,879.63 : x
  2. Step 2: Convert to fraction form
    5,166.55/7,750.98 = 1,879.63/x
  3. Step 3: Cross multiply
    5,166.55x = 7,750.98 × 1,879.63
  4. Step 4: Simplify right side
    5,166.55x = 14,568,974.54
  5. Step 5: Solve for x
    x = 14,568,974.54/5,166.55
  6. Step 6: Final answer
    x = 2,819.87

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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.