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Finding the Fourth Proportional to 8,078.04, 12,117 and 2,234.64

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Solution

The fourth proportional to 8,078.04, 12,117 and 2,234.64 is: 3,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.04 : 12,117 = 2,234.64 : x
  2. Step 2: Convert to fraction form
    8,078.04/12,117 = 2,234.64/x
  3. Step 3: Cross multiply
    8,078.04x = 12,117 × 2,234.64
  4. Step 4: Simplify right side
    8,078.04x = 27,077,132.88
  5. Step 5: Solve for x
    x = 27,077,132.88/8,078.04
  6. Step 6: Final answer
    x = 3,351.94

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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.