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Finding the Fourth Proportional to 3,279.52, 4,921.12 and 1,740.48

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Solution

The fourth proportional to 3,279.52, 4,921.12 and 1,740.48 is: 2,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.52 : 4,921.12 = 1,740.48 : x
  2. Step 2: Convert to fraction form
    3,279.52/4,921.12 = 1,740.48/x
  3. Step 3: Cross multiply
    3,279.52x = 4,921.12 × 1,740.48
  4. Step 4: Simplify right side
    3,279.52x = 8,565,110.94
  5. Step 5: Solve for x
    x = 8,565,110.94/3,279.52
  6. Step 6: Final answer
    x = 2,611.70

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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.