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Finding the Fourth Proportional to 3,863.75, 5,786.30 and 2,472.84

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Solution

The fourth proportional to 3,863.75, 5,786.30 and 2,472.84 is: 3,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.75 : 5,786.30 = 2,472.84 : x
  2. Step 2: Convert to fraction form
    3,863.75/5,786.30 = 2,472.84/x
  3. Step 3: Cross multiply
    3,863.75x = 5,786.30 × 2,472.84
  4. Step 4: Simplify right side
    3,863.75x = 14,308,600.27
  5. Step 5: Solve for x
    x = 14,308,600.27/3,863.75
  6. Step 6: Final answer
    x = 3,703.30

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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.