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Finding the Fourth Proportional to 3,279.84, 4,919.94 and 1,549.68

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Solution

The fourth proportional to 3,279.84, 4,919.94 and 1,549.68 is: 2,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.84 : 4,919.94 = 1,549.68 : x
  2. Step 2: Convert to fraction form
    3,279.84/4,919.94 = 1,549.68/x
  3. Step 3: Cross multiply
    3,279.84x = 4,919.94 × 1,549.68
  4. Step 4: Simplify right side
    3,279.84x = 7,624,332.62
  5. Step 5: Solve for x
    x = 7,624,332.62/3,279.84
  6. Step 6: Final answer
    x = 2,324.61

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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.