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Finding the Fourth Proportional to 5,179.37, 7,764.84 and 2,407.79

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Solution

The fourth proportional to 5,179.37, 7,764.84 and 2,407.79 is: 3,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.37 : 7,764.84 = 2,407.79 : x
  2. Step 2: Convert to fraction form
    5,179.37/7,764.84 = 2,407.79/x
  3. Step 3: Cross multiply
    5,179.37x = 7,764.84 × 2,407.79
  4. Step 4: Simplify right side
    5,179.37x = 18,696,123.52
  5. Step 5: Solve for x
    x = 18,696,123.52/5,179.37
  6. Step 6: Final answer
    x = 3,609.73

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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.