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Finding the Fourth Proportional to 3,785.87, 5,712.96 and 3,648.58

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Solution

The fourth proportional to 3,785.87, 5,712.96 and 3,648.58 is: 5,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.87 : 5,712.96 = 3,648.58 : x
  2. Step 2: Convert to fraction form
    3,785.87/5,712.96 = 3,648.58/x
  3. Step 3: Cross multiply
    3,785.87x = 5,712.96 × 3,648.58
  4. Step 4: Simplify right side
    3,785.87x = 20,844,191.00
  5. Step 5: Solve for x
    x = 20,844,191.00/3,785.87
  6. Step 6: Final answer
    x = 5,505.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.