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Finding the Fourth Proportional to 3,262.64, 4,891.50 and 1,963.80

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Solution

The fourth proportional to 3,262.64, 4,891.50 and 1,963.80 is: 2,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.64 : 4,891.50 = 1,963.80 : x
  2. Step 2: Convert to fraction form
    3,262.64/4,891.50 = 1,963.80/x
  3. Step 3: Cross multiply
    3,262.64x = 4,891.50 × 1,963.80
  4. Step 4: Simplify right side
    3,262.64x = 9,605,927.70
  5. Step 5: Solve for x
    x = 9,605,927.70/3,262.64
  6. Step 6: Final answer
    x = 2,944.22

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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.