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Finding the Fourth Proportional to 31,310, 43,207.84 and 17,163.36

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Solution

The fourth proportional to 31,310, 43,207.84 and 17,163.36 is: 23,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310 : 43,207.84 = 17,163.36 : x
  2. Step 2: Convert to fraction form
    31,310/43,207.84 = 17,163.36/x
  3. Step 3: Cross multiply
    31,310x = 43,207.84 × 17,163.36
  4. Step 4: Simplify right side
    31,310x = 741,591,712.74
  5. Step 5: Solve for x
    x = 741,591,712.74/31,310
  6. Step 6: Final answer
    x = 23,685.46

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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.