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Finding the Fourth Proportional to 5,178.48, 7,766.42 and 1,480.73

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Solution

The fourth proportional to 5,178.48, 7,766.42 and 1,480.73 is: 2,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.48 : 7,766.42 = 1,480.73 : x
  2. Step 2: Convert to fraction form
    5,178.48/7,766.42 = 1,480.73/x
  3. Step 3: Cross multiply
    5,178.48x = 7,766.42 × 1,480.73
  4. Step 4: Simplify right side
    5,178.48x = 11,499,971.09
  5. Step 5: Solve for x
    x = 11,499,971.09/5,178.48
  6. Step 6: Final answer
    x = 2,220.72

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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.