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Finding the Fourth Proportional to 2,714.90, 4,072.65 and 865.70

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Solution

The fourth proportional to 2,714.90, 4,072.65 and 865.70 is: 1,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.90 : 4,072.65 = 865.70 : x
  2. Step 2: Convert to fraction form
    2,714.90/4,072.65 = 865.70/x
  3. Step 3: Cross multiply
    2,714.90x = 4,072.65 × 865.70
  4. Step 4: Simplify right side
    2,714.90x = 3,525,693.11
  5. Step 5: Solve for x
    x = 3,525,693.11/2,714.90
  6. Step 6: Final answer
    x = 1,298.65

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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.