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Finding the Fourth Proportional to 2,593.78, 3,890.67 and 862.41

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Solution

The fourth proportional to 2,593.78, 3,890.67 and 862.41 is: 1,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.78 : 3,890.67 = 862.41 : x
  2. Step 2: Convert to fraction form
    2,593.78/3,890.67 = 862.41/x
  3. Step 3: Cross multiply
    2,593.78x = 3,890.67 × 862.41
  4. Step 4: Simplify right side
    2,593.78x = 3,355,333.26
  5. Step 5: Solve for x
    x = 3,355,333.26/2,593.78
  6. Step 6: Final answer
    x = 1,293.61

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Similar ratio
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1.5x scale

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.