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Finding the Fourth Proportional to 31,677.42, 43,701.45 and 18,245.46

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Solution

The fourth proportional to 31,677.42, 43,701.45 and 18,245.46 is: 25,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.42 : 43,701.45 = 18,245.46 : x
  2. Step 2: Convert to fraction form
    31,677.42/43,701.45 = 18,245.46/x
  3. Step 3: Cross multiply
    31,677.42x = 43,701.45 × 18,245.46
  4. Step 4: Simplify right side
    31,677.42x = 797,353,057.92
  5. Step 5: Solve for x
    x = 797,353,057.92/31,677.42
  6. Step 6: Final answer
    x = 25,171.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.