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Finding the Fourth Proportional to 2,595.28, 3,893.46 and 863.86

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Solution

The fourth proportional to 2,595.28, 3,893.46 and 863.86 is: 1,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.28 : 3,893.46 = 863.86 : x
  2. Step 2: Convert to fraction form
    2,595.28/3,893.46 = 863.86/x
  3. Step 3: Cross multiply
    2,595.28x = 3,893.46 × 863.86
  4. Step 4: Simplify right side
    2,595.28x = 3,363,404.36
  5. Step 5: Solve for x
    x = 3,363,404.36/2,595.28
  6. Step 6: Final answer
    x = 1,295.97

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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.