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Finding the Fourth Proportional to 3,861.74, 5,794.06 and 1,782.74

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Solution

The fourth proportional to 3,861.74, 5,794.06 and 1,782.74 is: 2,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.74 : 5,794.06 = 1,782.74 : x
  2. Step 2: Convert to fraction form
    3,861.74/5,794.06 = 1,782.74/x
  3. Step 3: Cross multiply
    3,861.74x = 5,794.06 × 1,782.74
  4. Step 4: Simplify right side
    3,861.74x = 10,329,302.52
  5. Step 5: Solve for x
    x = 10,329,302.52/3,861.74
  6. Step 6: Final answer
    x = 2,674.78

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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.