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Finding the Fourth Proportional to 2,714.41, 4,072.53 and 865.79

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Solution

The fourth proportional to 2,714.41, 4,072.53 and 865.79 is: 1,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.41 : 4,072.53 = 865.79 : x
  2. Step 2: Convert to fraction form
    2,714.41/4,072.53 = 865.79/x
  3. Step 3: Cross multiply
    2,714.41x = 4,072.53 × 865.79
  4. Step 4: Simplify right side
    2,714.41x = 3,525,949.03
  5. Step 5: Solve for x
    x = 3,525,949.03/2,714.41
  6. Step 6: Final answer
    x = 1,298.97

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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.