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Finding the Fourth Proportional to 2,107.68, 3,156 and 1,375.20

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Solution

The fourth proportional to 2,107.68, 3,156 and 1,375.20 is: 2,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.68 : 3,156 = 1,375.20 : x
  2. Step 2: Convert to fraction form
    2,107.68/3,156 = 1,375.20/x
  3. Step 3: Cross multiply
    2,107.68x = 3,156 × 1,375.20
  4. Step 4: Simplify right side
    2,107.68x = 4,340,131.20
  5. Step 5: Solve for x
    x = 4,340,131.20/2,107.68
  6. Step 6: Final answer
    x = 2,059.20

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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.