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Finding the Fourth Proportional to 2,949.75, 4,425.21 and 869.79

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Solution

The fourth proportional to 2,949.75, 4,425.21 and 869.79 is: 1,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.75 : 4,425.21 = 869.79 : x
  2. Step 2: Convert to fraction form
    2,949.75/4,425.21 = 869.79/x
  3. Step 3: Cross multiply
    2,949.75x = 4,425.21 × 869.79
  4. Step 4: Simplify right side
    2,949.75x = 3,849,003.41
  5. Step 5: Solve for x
    x = 3,849,003.41/2,949.75
  6. Step 6: Final answer
    x = 1,304.86

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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.