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Finding the Fourth Proportional to 3,100.65, 4,651.19 and 1,251.77

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Solution

The fourth proportional to 3,100.65, 4,651.19 and 1,251.77 is: 1,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.65 : 4,651.19 = 1,251.77 : x
  2. Step 2: Convert to fraction form
    3,100.65/4,651.19 = 1,251.77/x
  3. Step 3: Cross multiply
    3,100.65x = 4,651.19 × 1,251.77
  4. Step 4: Simplify right side
    3,100.65x = 5,822,190.59
  5. Step 5: Solve for x
    x = 5,822,190.59/3,100.65
  6. Step 6: Final answer
    x = 1,877.73

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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.