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Finding the Fourth Proportional to 2,512.63, 3,768.04 and 868.74

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Solution

The fourth proportional to 2,512.63, 3,768.04 and 868.74 is: 1,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.63 : 3,768.04 = 868.74 : x
  2. Step 2: Convert to fraction form
    2,512.63/3,768.04 = 868.74/x
  3. Step 3: Cross multiply
    2,512.63x = 3,768.04 × 868.74
  4. Step 4: Simplify right side
    2,512.63x = 3,273,447.07
  5. Step 5: Solve for x
    x = 3,273,447.07/2,512.63
  6. Step 6: Final answer
    x = 1,302.80

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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.