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Finding the Fourth Proportional to 3,927.33, 5,420.65 and 2,249.71

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Solution

The fourth proportional to 3,927.33, 5,420.65 and 2,249.71 is: 3,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.33 : 5,420.65 = 2,249.71 : x
  2. Step 2: Convert to fraction form
    3,927.33/5,420.65 = 2,249.71/x
  3. Step 3: Cross multiply
    3,927.33x = 5,420.65 × 2,249.71
  4. Step 4: Simplify right side
    3,927.33x = 12,194,863.41
  5. Step 5: Solve for x
    x = 12,194,863.41/3,927.33
  6. Step 6: Final answer
    x = 3,105.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.