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Finding the Fourth Proportional to 2,717.63, 4,076.73 and 868.31

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Solution

The fourth proportional to 2,717.63, 4,076.73 and 868.31 is: 1,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.63 : 4,076.73 = 868.31 : x
  2. Step 2: Convert to fraction form
    2,717.63/4,076.73 = 868.31/x
  3. Step 3: Cross multiply
    2,717.63x = 4,076.73 × 868.31
  4. Step 4: Simplify right side
    2,717.63x = 3,539,845.04
  5. Step 5: Solve for x
    x = 3,539,845.04/2,717.63
  6. Step 6: Final answer
    x = 1,302.55

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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.