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Finding the Fourth Proportional to 3,882.86, 5,824.35 and 1,285.86

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Solution

The fourth proportional to 3,882.86, 5,824.35 and 1,285.86 is: 1,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.86 : 5,824.35 = 1,285.86 : x
  2. Step 2: Convert to fraction form
    3,882.86/5,824.35 = 1,285.86/x
  3. Step 3: Cross multiply
    3,882.86x = 5,824.35 × 1,285.86
  4. Step 4: Simplify right side
    3,882.86x = 7,489,298.69
  5. Step 5: Solve for x
    x = 7,489,298.69/3,882.86
  6. Step 6: Final answer
    x = 1,928.81

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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.