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Finding the Fourth Proportional to 2,593.62, 3,890.97 and 862.38

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Solution

The fourth proportional to 2,593.62, 3,890.97 and 862.38 is: 1,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.62 : 3,890.97 = 862.38 : x
  2. Step 2: Convert to fraction form
    2,593.62/3,890.97 = 862.38/x
  3. Step 3: Cross multiply
    2,593.62x = 3,890.97 × 862.38
  4. Step 4: Simplify right side
    2,593.62x = 3,355,494.71
  5. Step 5: Solve for x
    x = 3,355,494.71/2,593.62
  6. Step 6: Final answer
    x = 1,293.75

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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.