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Finding the Fourth Proportional to 12,119.76, 18,174.96 and 4,719.96

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Solution

The fourth proportional to 12,119.76, 18,174.96 and 4,719.96 is: 7,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.76 : 18,174.96 = 4,719.96 : x
  2. Step 2: Convert to fraction form
    12,119.76/18,174.96 = 4,719.96/x
  3. Step 3: Cross multiply
    12,119.76x = 18,174.96 × 4,719.96
  4. Step 4: Simplify right side
    12,119.76x = 85,785,084.20
  5. Step 5: Solve for x
    x = 85,785,084.20/12,119.76
  6. Step 6: Final answer
    x = 7,078.12

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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.