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Finding the Fourth Proportional to 2,843.62, 4,266.05 and 869.41

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Solution

The fourth proportional to 2,843.62, 4,266.05 and 869.41 is: 1,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.62 : 4,266.05 = 869.41 : x
  2. Step 2: Convert to fraction form
    2,843.62/4,266.05 = 869.41/x
  3. Step 3: Cross multiply
    2,843.62x = 4,266.05 × 869.41
  4. Step 4: Simplify right side
    2,843.62x = 3,708,942.18
  5. Step 5: Solve for x
    x = 3,708,942.18/2,843.62
  6. Step 6: Final answer
    x = 1,304.31

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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.