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Finding the Fourth Proportional to 8,140.86, 12,211.97 and 2,297.52

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Solution

The fourth proportional to 8,140.86, 12,211.97 and 2,297.52 is: 3,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.86 : 12,211.97 = 2,297.52 : x
  2. Step 2: Convert to fraction form
    8,140.86/12,211.97 = 2,297.52/x
  3. Step 3: Cross multiply
    8,140.86x = 12,211.97 × 2,297.52
  4. Step 4: Simplify right side
    8,140.86x = 28,057,233.83
  5. Step 5: Solve for x
    x = 28,057,233.83/8,140.86
  6. Step 6: Final answer
    x = 3,446.47

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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.