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Finding the Fourth Proportional to 2,574.35, 3,861.53 and 842.97

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Solution

The fourth proportional to 2,574.35, 3,861.53 and 842.97 is: 1,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.35 : 3,861.53 = 842.97 : x
  2. Step 2: Convert to fraction form
    2,574.35/3,861.53 = 842.97/x
  3. Step 3: Cross multiply
    2,574.35x = 3,861.53 × 842.97
  4. Step 4: Simplify right side
    2,574.35x = 3,255,149.73
  5. Step 5: Solve for x
    x = 3,255,149.73/2,574.35
  6. Step 6: Final answer
    x = 1,264.46

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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.