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Finding the Fourth Proportional to 10,745.46, 16,131.96 and 8,281.98

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Solution

The fourth proportional to 10,745.46, 16,131.96 and 8,281.98 is: 12,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.46 : 16,131.96 = 8,281.98 : x
  2. Step 2: Convert to fraction form
    10,745.46/16,131.96 = 8,281.98/x
  3. Step 3: Cross multiply
    10,745.46x = 16,131.96 × 8,281.98
  4. Step 4: Simplify right side
    10,745.46x = 133,604,570.08
  5. Step 5: Solve for x
    x = 133,604,570.08/10,745.46
  6. Step 6: Final answer
    x = 12,433.58

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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.