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Finding the Fourth Proportional to 6,879, 10,314.48 and 2,714.16

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Solution

The fourth proportional to 6,879, 10,314.48 and 2,714.16 is: 4,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879 : 10,314.48 = 2,714.16 : x
  2. Step 2: Convert to fraction form
    6,879/10,314.48 = 2,714.16/x
  3. Step 3: Cross multiply
    6,879x = 10,314.48 × 2,714.16
  4. Step 4: Simplify right side
    6,879x = 27,995,149.04
  5. Step 5: Solve for x
    x = 27,995,149.04/6,879
  6. Step 6: Final answer
    x = 4,069.65

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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.