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Finding the Fourth Proportional to 31,610.40, 43,623 and 18,186

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Solution

The fourth proportional to 31,610.40, 43,623 and 18,186 is: 25,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.40 : 43,623 = 18,186 : x
  2. Step 2: Convert to fraction form
    31,610.40/43,623 = 18,186/x
  3. Step 3: Cross multiply
    31,610.40x = 43,623 × 18,186
  4. Step 4: Simplify right side
    31,610.40x = 793,327,878
  5. Step 5: Solve for x
    x = 793,327,878/31,610.40
  6. Step 6: Final answer
    x = 25,097.05

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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.