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Finding the Fourth Proportional to 9,168.50, 13,753.02 and 2,243

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Solution

The fourth proportional to 9,168.50, 13,753.02 and 2,243 is: 3,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.50 : 13,753.02 = 2,243 : x
  2. Step 2: Convert to fraction form
    9,168.50/13,753.02 = 2,243/x
  3. Step 3: Cross multiply
    9,168.50x = 13,753.02 × 2,243
  4. Step 4: Simplify right side
    9,168.50x = 30,848,023.86
  5. Step 5: Solve for x
    x = 30,848,023.86/9,168.50
  6. Step 6: Final answer
    x = 3,364.57

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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.