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Finding the Fourth Proportional to 2,714.70, 4,072.05 and 2,685.90

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Solution

The fourth proportional to 2,714.70, 4,072.05 and 2,685.90 is: 4,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.70 : 4,072.05 = 2,685.90 : x
  2. Step 2: Convert to fraction form
    2,714.70/4,072.05 = 2,685.90/x
  3. Step 3: Cross multiply
    2,714.70x = 4,072.05 × 2,685.90
  4. Step 4: Simplify right side
    2,714.70x = 10,937,119.10
  5. Step 5: Solve for x
    x = 10,937,119.10/2,714.70
  6. Step 6: Final answer
    x = 4,028.85

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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.