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Finding the Fourth Proportional to 3,279.17, 4,918.07 and 1,200.16

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Solution

The fourth proportional to 3,279.17, 4,918.07 and 1,200.16 is: 1,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.17 : 4,918.07 = 1,200.16 : x
  2. Step 2: Convert to fraction form
    3,279.17/4,918.07 = 1,200.16/x
  3. Step 3: Cross multiply
    3,279.17x = 4,918.07 × 1,200.16
  4. Step 4: Simplify right side
    3,279.17x = 5,902,440.30
  5. Step 5: Solve for x
    x = 5,902,440.30/3,279.17
  6. Step 6: Final answer
    x = 1,799.98

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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.