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Finding the Fourth Proportional to 8,012.66, 12,013.23 and 3,627.86

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Solution

The fourth proportional to 8,012.66, 12,013.23 and 3,627.86 is: 5,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.66 : 12,013.23 = 3,627.86 : x
  2. Step 2: Convert to fraction form
    8,012.66/12,013.23 = 3,627.86/x
  3. Step 3: Cross multiply
    8,012.66x = 12,013.23 × 3,627.86
  4. Step 4: Simplify right side
    8,012.66x = 43,582,316.59
  5. Step 5: Solve for x
    x = 43,582,316.59/8,012.66
  6. Step 6: Final answer
    x = 5,439.18

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Why These Related Problems?

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