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Finding the Fourth Proportional to 2,714.80, 4,069.05 and 1,254.10

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Solution

The fourth proportional to 2,714.80, 4,069.05 and 1,254.10 is: 1,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.80 : 4,069.05 = 1,254.10 : x
  2. Step 2: Convert to fraction form
    2,714.80/4,069.05 = 1,254.10/x
  3. Step 3: Cross multiply
    2,714.80x = 4,069.05 × 1,254.10
  4. Step 4: Simplify right side
    2,714.80x = 5,102,995.61
  5. Step 5: Solve for x
    x = 5,102,995.61/2,714.80
  6. Step 6: Final answer
    x = 1,879.69

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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.