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Finding the Fourth Proportional to 2,763.70, 4,146 and 1,377.10

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Solution

The fourth proportional to 2,763.70, 4,146 and 1,377.10 is: 2,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.70 : 4,146 = 1,377.10 : x
  2. Step 2: Convert to fraction form
    2,763.70/4,146 = 1,377.10/x
  3. Step 3: Cross multiply
    2,763.70x = 4,146 × 1,377.10
  4. Step 4: Simplify right side
    2,763.70x = 5,709,456.60
  5. Step 5: Solve for x
    x = 5,709,456.60/2,763.70
  6. Step 6: Final answer
    x = 2,065.87

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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.