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Finding the Fourth Proportional to 20,977.50, 31,466.25 and 8,665.82

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Solution

The fourth proportional to 20,977.50, 31,466.25 and 8,665.82 is: 12,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.50 : 31,466.25 = 8,665.82 : x
  2. Step 2: Convert to fraction form
    20,977.50/31,466.25 = 8,665.82/x
  3. Step 3: Cross multiply
    20,977.50x = 31,466.25 × 8,665.82
  4. Step 4: Simplify right side
    20,977.50x = 272,680,858.58
  5. Step 5: Solve for x
    x = 272,680,858.58/20,977.50
  6. Step 6: Final answer
    x = 12,998.73

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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.