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Finding the Fourth Proportional to 2,574.35, 3,861.49 and 626.57

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Solution

The fourth proportional to 2,574.35, 3,861.49 and 626.57 is: 939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.35 : 3,861.49 = 626.57 : x
  2. Step 2: Convert to fraction form
    2,574.35/3,861.49 = 626.57/x
  3. Step 3: Cross multiply
    2,574.35x = 3,861.49 × 626.57
  4. Step 4: Simplify right side
    2,574.35x = 2,419,493.79
  5. Step 5: Solve for x
    x = 2,419,493.79/2,574.35
  6. Step 6: Final answer
    x = 939.85

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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.