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Finding the Fourth Proportional to 3,878.12, 5,811.78 and 2,232.48

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Solution

The fourth proportional to 3,878.12, 5,811.78 and 2,232.48 is: 3,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.12 : 5,811.78 = 2,232.48 : x
  2. Step 2: Convert to fraction form
    3,878.12/5,811.78 = 2,232.48/x
  3. Step 3: Cross multiply
    3,878.12x = 5,811.78 × 2,232.48
  4. Step 4: Simplify right side
    3,878.12x = 12,974,682.61
  5. Step 5: Solve for x
    x = 12,974,682.61/3,878.12
  6. Step 6: Final answer
    x = 3,345.61

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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.