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Finding the Fourth Proportional to 3,856.88, 5,785.32 and 1,083.80

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Solution

The fourth proportional to 3,856.88, 5,785.32 and 1,083.80 is: 1,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.88 : 5,785.32 = 1,083.80 : x
  2. Step 2: Convert to fraction form
    3,856.88/5,785.32 = 1,083.80/x
  3. Step 3: Cross multiply
    3,856.88x = 5,785.32 × 1,083.80
  4. Step 4: Simplify right side
    3,856.88x = 6,270,129.82
  5. Step 5: Solve for x
    x = 6,270,129.82/3,856.88
  6. Step 6: Final answer
    x = 1,625.70

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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.