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Finding the Fourth Proportional to 2,714.70, 4,072.34 and 865.66

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Solution

The fourth proportional to 2,714.70, 4,072.34 and 865.66 is: 1,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.70 : 4,072.34 = 865.66 : x
  2. Step 2: Convert to fraction form
    2,714.70/4,072.34 = 865.66/x
  3. Step 3: Cross multiply
    2,714.70x = 4,072.34 × 865.66
  4. Step 4: Simplify right side
    2,714.70x = 3,525,261.84
  5. Step 5: Solve for x
    x = 3,525,261.84/2,714.70
  6. Step 6: Final answer
    x = 1,298.58

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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.