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Finding the Fourth Proportional to 31,614, 43,631.16 and 18,366

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Solution

The fourth proportional to 31,614, 43,631.16 and 18,366 is: 25,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614 : 43,631.16 = 18,366 : x
  2. Step 2: Convert to fraction form
    31,614/43,631.16 = 18,366/x
  3. Step 3: Cross multiply
    31,614x = 43,631.16 × 18,366
  4. Step 4: Simplify right side
    31,614x = 801,329,884.56
  5. Step 5: Solve for x
    x = 801,329,884.56/31,614
  6. Step 6: Final answer
    x = 25,347.31

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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.