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Finding the Fourth Proportional to 2,714.08, 4,072.40 and 2,670.40

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Solution

The fourth proportional to 2,714.08, 4,072.40 and 2,670.40 is: 4,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.08 : 4,072.40 = 2,670.40 : x
  2. Step 2: Convert to fraction form
    2,714.08/4,072.40 = 2,670.40/x
  3. Step 3: Cross multiply
    2,714.08x = 4,072.40 × 2,670.40
  4. Step 4: Simplify right side
    2,714.08x = 10,874,936.96
  5. Step 5: Solve for x
    x = 10,874,936.96/2,714.08
  6. Step 6: Final answer
    x = 4,006.86

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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.