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Finding the Fourth Proportional to 31,076.97, 42,885 and 18,997.67

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Solution

The fourth proportional to 31,076.97, 42,885 and 18,997.67 is: 26,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.97 : 42,885 = 18,997.67 : x
  2. Step 2: Convert to fraction form
    31,076.97/42,885 = 18,997.67/x
  3. Step 3: Cross multiply
    31,076.97x = 42,885 × 18,997.67
  4. Step 4: Simplify right side
    31,076.97x = 814,715,077.95
  5. Step 5: Solve for x
    x = 814,715,077.95/31,076.97
  6. Step 6: Final answer
    x = 26,216.04

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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.