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Finding the Fourth Proportional to 7,180.85, 10,765.98 and 5,176.33

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Solution

The fourth proportional to 7,180.85, 10,765.98 and 5,176.33 is: 7,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.85 : 10,765.98 = 5,176.33 : x
  2. Step 2: Convert to fraction form
    7,180.85/10,765.98 = 5,176.33/x
  3. Step 3: Cross multiply
    7,180.85x = 10,765.98 × 5,176.33
  4. Step 4: Simplify right side
    7,180.85x = 55,728,265.25
  5. Step 5: Solve for x
    x = 55,728,265.25/7,180.85
  6. Step 6: Final answer
    x = 7,760.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.