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Finding the Fourth Proportional to 2,714.60, 4,069.20 and 1,251.20

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Solution

The fourth proportional to 2,714.60, 4,069.20 and 1,251.20 is: 1,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.60 : 4,069.20 = 1,251.20 : x
  2. Step 2: Convert to fraction form
    2,714.60/4,069.20 = 1,251.20/x
  3. Step 3: Cross multiply
    2,714.60x = 4,069.20 × 1,251.20
  4. Step 4: Simplify right side
    2,714.60x = 5,091,383.04
  5. Step 5: Solve for x
    x = 5,091,383.04/2,714.60
  6. Step 6: Final answer
    x = 1,875.56

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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.