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Finding the Fourth Proportional to 3,846.74, 5,308.10 and 2,168.11

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Solution

The fourth proportional to 3,846.74, 5,308.10 and 2,168.11 is: 2,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.74 : 5,308.10 = 2,168.11 : x
  2. Step 2: Convert to fraction form
    3,846.74/5,308.10 = 2,168.11/x
  3. Step 3: Cross multiply
    3,846.74x = 5,308.10 × 2,168.11
  4. Step 4: Simplify right side
    3,846.74x = 11,508,507.31
  5. Step 5: Solve for x
    x = 11,508,507.31/3,846.74
  6. Step 6: Final answer
    x = 2,991.76

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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.