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Finding the Fourth Proportional to 2,758.80, 4,138.20 and 2,102.70

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Solution

The fourth proportional to 2,758.80, 4,138.20 and 2,102.70 is: 3,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.80 : 4,138.20 = 2,102.70 : x
  2. Step 2: Convert to fraction form
    2,758.80/4,138.20 = 2,102.70/x
  3. Step 3: Cross multiply
    2,758.80x = 4,138.20 × 2,102.70
  4. Step 4: Simplify right side
    2,758.80x = 8,701,393.14
  5. Step 5: Solve for x
    x = 8,701,393.14/2,758.80
  6. Step 6: Final answer
    x = 3,154.05

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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.