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Finding the Fourth Proportional to 3,398.79, 5,098.53 and 1,177.62

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Solution

The fourth proportional to 3,398.79, 5,098.53 and 1,177.62 is: 1,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.79 : 5,098.53 = 1,177.62 : x
  2. Step 2: Convert to fraction form
    3,398.79/5,098.53 = 1,177.62/x
  3. Step 3: Cross multiply
    3,398.79x = 5,098.53 × 1,177.62
  4. Step 4: Simplify right side
    3,398.79x = 6,004,108.73
  5. Step 5: Solve for x
    x = 6,004,108.73/3,398.79
  6. Step 6: Final answer
    x = 1,766.54

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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.