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Finding the Fourth Proportional to 3,883.75, 5,826.54 and 1,286.70

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Solution

The fourth proportional to 3,883.75, 5,826.54 and 1,286.70 is: 1,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.75 : 5,826.54 = 1,286.70 : x
  2. Step 2: Convert to fraction form
    3,883.75/5,826.54 = 1,286.70/x
  3. Step 3: Cross multiply
    3,883.75x = 5,826.54 × 1,286.70
  4. Step 4: Simplify right side
    3,883.75x = 7,497,009.02
  5. Step 5: Solve for x
    x = 7,497,009.02/3,883.75
  6. Step 6: Final answer
    x = 1,930.35

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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.