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Finding the Fourth Proportional to 3,846.23, 5,308.31 and 2,168

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Solution

The fourth proportional to 3,846.23, 5,308.31 and 2,168 is: 2,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.23 : 5,308.31 = 2,168 : x
  2. Step 2: Convert to fraction form
    3,846.23/5,308.31 = 2,168/x
  3. Step 3: Cross multiply
    3,846.23x = 5,308.31 × 2,168
  4. Step 4: Simplify right side
    3,846.23x = 11,508,405.24
  5. Step 5: Solve for x
    x = 11,508,405.24/3,846.23
  6. Step 6: Final answer
    x = 2,992.13

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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.