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Finding the Fourth Proportional to 3,199.64, 4,798.88 and 1,352.05

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Solution

The fourth proportional to 3,199.64, 4,798.88 and 1,352.05 is: 2,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.64 : 4,798.88 = 1,352.05 : x
  2. Step 2: Convert to fraction form
    3,199.64/4,798.88 = 1,352.05/x
  3. Step 3: Cross multiply
    3,199.64x = 4,798.88 × 1,352.05
  4. Step 4: Simplify right side
    3,199.64x = 6,488,306.95
  5. Step 5: Solve for x
    x = 6,488,306.95/3,199.64
  6. Step 6: Final answer
    x = 2,027.83

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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.