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Finding the Fourth Proportional to 9,197, 13,796.80 and 2,954.92

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Solution

The fourth proportional to 9,197, 13,796.80 and 2,954.92 is: 4,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197 : 13,796.80 = 2,954.92 : x
  2. Step 2: Convert to fraction form
    9,197/13,796.80 = 2,954.92/x
  3. Step 3: Cross multiply
    9,197x = 13,796.80 × 2,954.92
  4. Step 4: Simplify right side
    9,197x = 40,768,440.26
  5. Step 5: Solve for x
    x = 40,768,440.26/9,197
  6. Step 6: Final answer
    x = 4,432.80

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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.