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Finding the Fourth Proportional to 21,234.71, 31,866.41 and 8,086.74

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Solution

The fourth proportional to 21,234.71, 31,866.41 and 8,086.74 is: 12,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.71 : 31,866.41 = 8,086.74 : x
  2. Step 2: Convert to fraction form
    21,234.71/31,866.41 = 8,086.74/x
  3. Step 3: Cross multiply
    21,234.71x = 31,866.41 × 8,086.74
  4. Step 4: Simplify right side
    21,234.71x = 257,695,273.12
  5. Step 5: Solve for x
    x = 257,695,273.12/21,234.71
  6. Step 6: Final answer
    x = 12,135.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.