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Finding the Fourth Proportional to 5,169.96, 7,750.25 and 1,880.73

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Solution

The fourth proportional to 5,169.96, 7,750.25 and 1,880.73 is: 2,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.96 : 7,750.25 = 1,880.73 : x
  2. Step 2: Convert to fraction form
    5,169.96/7,750.25 = 1,880.73/x
  3. Step 3: Cross multiply
    5,169.96x = 7,750.25 × 1,880.73
  4. Step 4: Simplify right side
    5,169.96x = 14,576,127.68
  5. Step 5: Solve for x
    x = 14,576,127.68/5,169.96
  6. Step 6: Final answer
    x = 2,819.39

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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.