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Finding the Fourth Proportional to 3,927.71, 5,419.98 and 2,249.13

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Solution

The fourth proportional to 3,927.71, 5,419.98 and 2,249.13 is: 3,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.71 : 5,419.98 = 2,249.13 : x
  2. Step 2: Convert to fraction form
    3,927.71/5,419.98 = 2,249.13/x
  3. Step 3: Cross multiply
    3,927.71x = 5,419.98 × 2,249.13
  4. Step 4: Simplify right side
    3,927.71x = 12,190,239.62
  5. Step 5: Solve for x
    x = 12,190,239.62/3,927.71
  6. Step 6: Final answer
    x = 3,103.65

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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.