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Finding the Fourth Proportional to 19,608, 29,379.24 and 12,194.16

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Solution

The fourth proportional to 19,608, 29,379.24 and 12,194.16 is: 18,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608 : 29,379.24 = 12,194.16 : x
  2. Step 2: Convert to fraction form
    19,608/29,379.24 = 12,194.16/x
  3. Step 3: Cross multiply
    19,608x = 29,379.24 × 12,194.16
  4. Step 4: Simplify right side
    19,608x = 358,255,153.24
  5. Step 5: Solve for x
    x = 358,255,153.24/19,608
  6. Step 6: Final answer
    x = 18,270.87

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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.