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Finding the Fourth Proportional to 3,846.49, 5,308.11 and 2,168.07

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Solution

The fourth proportional to 3,846.49, 5,308.11 and 2,168.07 is: 2,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.49 : 5,308.11 = 2,168.07 : x
  2. Step 2: Convert to fraction form
    3,846.49/5,308.11 = 2,168.07/x
  3. Step 3: Cross multiply
    3,846.49x = 5,308.11 × 2,168.07
  4. Step 4: Simplify right side
    3,846.49x = 11,508,354.05
  5. Step 5: Solve for x
    x = 11,508,354.05/3,846.49
  6. Step 6: Final answer
    x = 2,991.91

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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.