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Finding the Fourth Proportional to 3,838.91, 5,296.97 and 2,347.22

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Solution

The fourth proportional to 3,838.91, 5,296.97 and 2,347.22 is: 3,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.91 : 5,296.97 = 2,347.22 : x
  2. Step 2: Convert to fraction form
    3,838.91/5,296.97 = 2,347.22/x
  3. Step 3: Cross multiply
    3,838.91x = 5,296.97 × 2,347.22
  4. Step 4: Simplify right side
    3,838.91x = 12,433,115.70
  5. Step 5: Solve for x
    x = 12,433,115.70/3,838.91
  6. Step 6: Final answer
    x = 3,238.71

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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.