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Finding the Fourth Proportional to 8,118, 12,177.60 and 5,940.48

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Solution

The fourth proportional to 8,118, 12,177.60 and 5,940.48 is: 8,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118 : 12,177.60 = 5,940.48 : x
  2. Step 2: Convert to fraction form
    8,118/12,177.60 = 5,940.48/x
  3. Step 3: Cross multiply
    8,118x = 12,177.60 × 5,940.48
  4. Step 4: Simplify right side
    8,118x = 72,340,789.25
  5. Step 5: Solve for x
    x = 72,340,789.25/8,118
  6. Step 6: Final answer
    x = 8,911.16

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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.