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Finding the Fourth Proportional to 2,281.97, 3,422.97 and 638.53

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Solution

The fourth proportional to 2,281.97, 3,422.97 and 638.53 is: 957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.97 : 3,422.97 = 638.53 : x
  2. Step 2: Convert to fraction form
    2,281.97/3,422.97 = 638.53/x
  3. Step 3: Cross multiply
    2,281.97x = 3,422.97 × 638.53
  4. Step 4: Simplify right side
    2,281.97x = 2,185,660.48
  5. Step 5: Solve for x
    x = 2,185,660.48/2,281.97
  6. Step 6: Final answer
    x = 957.79

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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.