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Finding the Fourth Proportional to 12,115.95, 18,169.25 and 4,719.48

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Solution

The fourth proportional to 12,115.95, 18,169.25 and 4,719.48 is: 7,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.95 : 18,169.25 = 4,719.48 : x
  2. Step 2: Convert to fraction form
    12,115.95/18,169.25 = 4,719.48/x
  3. Step 3: Cross multiply
    12,115.95x = 18,169.25 × 4,719.48
  4. Step 4: Simplify right side
    12,115.95x = 85,749,388.39
  5. Step 5: Solve for x
    x = 85,749,388.39/12,115.95
  6. Step 6: Final answer
    x = 7,077.40

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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.