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Finding the Fourth Proportional to 3,275.76, 4,912 and 1,327.44

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Solution

The fourth proportional to 3,275.76, 4,912 and 1,327.44 is: 1,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.76 : 4,912 = 1,327.44 : x
  2. Step 2: Convert to fraction form
    3,275.76/4,912 = 1,327.44/x
  3. Step 3: Cross multiply
    3,275.76x = 4,912 × 1,327.44
  4. Step 4: Simplify right side
    3,275.76x = 6,520,385.28
  5. Step 5: Solve for x
    x = 6,520,385.28/3,275.76
  6. Step 6: Final answer
    x = 1,990.50

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1.5x scale

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.