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Finding the Fourth Proportional to 3,882.92, 5,825.46 and 1,287.68

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Solution

The fourth proportional to 3,882.92, 5,825.46 and 1,287.68 is: 1,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.92 : 5,825.46 = 1,287.68 : x
  2. Step 2: Convert to fraction form
    3,882.92/5,825.46 = 1,287.68/x
  3. Step 3: Cross multiply
    3,882.92x = 5,825.46 × 1,287.68
  4. Step 4: Simplify right side
    3,882.92x = 7,501,328.33
  5. Step 5: Solve for x
    x = 7,501,328.33/3,882.92
  6. Step 6: Final answer
    x = 1,931.88

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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.