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Finding the Fourth Proportional to 12,177.70, 18,264.49 and 3,410.60

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Solution

The fourth proportional to 12,177.70, 18,264.49 and 3,410.60 is: 5,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.70 : 18,264.49 = 3,410.60 : x
  2. Step 2: Convert to fraction form
    12,177.70/18,264.49 = 3,410.60/x
  3. Step 3: Cross multiply
    12,177.70x = 18,264.49 × 3,410.60
  4. Step 4: Simplify right side
    12,177.70x = 62,292,769.75
  5. Step 5: Solve for x
    x = 62,292,769.75/12,177.70
  6. Step 6: Final answer
    x = 5,115.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.