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Finding the Fourth Proportional to 3,367.64, 5,052 and 1,287.92

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Solution

The fourth proportional to 3,367.64, 5,052 and 1,287.92 is: 1,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.64 : 5,052 = 1,287.92 : x
  2. Step 2: Convert to fraction form
    3,367.64/5,052 = 1,287.92/x
  3. Step 3: Cross multiply
    3,367.64x = 5,052 × 1,287.92
  4. Step 4: Simplify right side
    3,367.64x = 6,506,571.84
  5. Step 5: Solve for x
    x = 6,506,571.84/3,367.64
  6. Step 6: Final answer
    x = 1,932.09

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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.