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Finding the Fourth Proportional to 12,177.76, 18,252 and 4,777.60

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Solution

The fourth proportional to 12,177.76, 18,252 and 4,777.60 is: 7,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.76 : 18,252 = 4,777.60 : x
  2. Step 2: Convert to fraction form
    12,177.76/18,252 = 4,777.60/x
  3. Step 3: Cross multiply
    12,177.76x = 18,252 × 4,777.60
  4. Step 4: Simplify right side
    12,177.76x = 87,200,755.20
  5. Step 5: Solve for x
    x = 87,200,755.20/12,177.76
  6. Step 6: Final answer
    x = 7,160.66

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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.