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Finding the Fourth Proportional to 3,856.68, 5,785.02 and 1,906.92

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Solution

The fourth proportional to 3,856.68, 5,785.02 and 1,906.92 is: 2,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.68 : 5,785.02 = 1,906.92 : x
  2. Step 2: Convert to fraction form
    3,856.68/5,785.02 = 1,906.92/x
  3. Step 3: Cross multiply
    3,856.68x = 5,785.02 × 1,906.92
  4. Step 4: Simplify right side
    3,856.68x = 11,031,570.34
  5. Step 5: Solve for x
    x = 11,031,570.34/3,856.68
  6. Step 6: Final answer
    x = 2,860.38

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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.