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Finding the Fourth Proportional to 3,884.26, 5,826.52 and 1,287.12

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Solution

The fourth proportional to 3,884.26, 5,826.52 and 1,287.12 is: 1,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.26 : 5,826.52 = 1,287.12 : x
  2. Step 2: Convert to fraction form
    3,884.26/5,826.52 = 1,287.12/x
  3. Step 3: Cross multiply
    3,884.26x = 5,826.52 × 1,287.12
  4. Step 4: Simplify right side
    3,884.26x = 7,499,430.42
  5. Step 5: Solve for x
    x = 7,499,430.42/3,884.26
  6. Step 6: Final answer
    x = 1,930.72

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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.