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Finding the Fourth Proportional to 12,177.96, 18,296.08 and 7,803.96

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Solution

The fourth proportional to 12,177.96, 18,296.08 and 7,803.96 is: 11,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.96 : 18,296.08 = 7,803.96 : x
  2. Step 2: Convert to fraction form
    12,177.96/18,296.08 = 7,803.96/x
  3. Step 3: Cross multiply
    12,177.96x = 18,296.08 × 7,803.96
  4. Step 4: Simplify right side
    12,177.96x = 142,781,876.48
  5. Step 5: Solve for x
    x = 142,781,876.48/12,177.96
  6. Step 6: Final answer
    x = 11,724.61

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1.5x scale

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.