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Finding the Fourth Proportional to 12,157.38, 18,236.07 and 6,301.70

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Solution

The fourth proportional to 12,157.38, 18,236.07 and 6,301.70 is: 9,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.38 : 18,236.07 = 6,301.70 : x
  2. Step 2: Convert to fraction form
    12,157.38/18,236.07 = 6,301.70/x
  3. Step 3: Cross multiply
    12,157.38x = 18,236.07 × 6,301.70
  4. Step 4: Simplify right side
    12,157.38x = 114,918,151.14
  5. Step 5: Solve for x
    x = 114,918,151.14/12,157.38
  6. Step 6: Final answer
    x = 9,452.54

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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.