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Finding the Fourth Proportional to 2,718.75, 4,078.43 and 869.43

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Solution

The fourth proportional to 2,718.75, 4,078.43 and 869.43 is: 1,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.75 : 4,078.43 = 869.43 : x
  2. Step 2: Convert to fraction form
    2,718.75/4,078.43 = 869.43/x
  3. Step 3: Cross multiply
    2,718.75x = 4,078.43 × 869.43
  4. Step 4: Simplify right side
    2,718.75x = 3,545,905.05
  5. Step 5: Solve for x
    x = 3,545,905.05/2,718.75
  6. Step 6: Final answer
    x = 1,304.24

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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.