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Finding the Fourth Proportional to 9,161.86, 13,743.80 and 2,920.42

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Solution

The fourth proportional to 9,161.86, 13,743.80 and 2,920.42 is: 4,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.86 : 13,743.80 = 2,920.42 : x
  2. Step 2: Convert to fraction form
    9,161.86/13,743.80 = 2,920.42/x
  3. Step 3: Cross multiply
    9,161.86x = 13,743.80 × 2,920.42
  4. Step 4: Simplify right side
    9,161.86x = 40,137,668.40
  5. Step 5: Solve for x
    x = 40,137,668.40/9,161.86
  6. Step 6: Final answer
    x = 4,380.95

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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.