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Finding the Fourth Proportional to 8,149.41, 12,212.12 and 3,641.00

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Solution

The fourth proportional to 8,149.41, 12,212.12 and 3,641.00 is: 5,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.41 : 12,212.12 = 3,641.00 : x
  2. Step 2: Convert to fraction form
    8,149.41/12,212.12 = 3,641.00/x
  3. Step 3: Cross multiply
    8,149.41x = 12,212.12 × 3,641.00
  4. Step 4: Simplify right side
    8,149.41x = 44,464,325.17
  5. Step 5: Solve for x
    x = 44,464,325.17/8,149.41
  6. Step 6: Final answer
    x = 5,456.14

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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.