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Finding the Fourth Proportional to 9,391.68, 12,960.96 and 5,200

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Solution

The fourth proportional to 9,391.68, 12,960.96 and 5,200 is: 7,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.68 : 12,960.96 = 5,200 : x
  2. Step 2: Convert to fraction form
    9,391.68/12,960.96 = 5,200/x
  3. Step 3: Cross multiply
    9,391.68x = 12,960.96 × 5,200
  4. Step 4: Simplify right side
    9,391.68x = 67,396,992
  5. Step 5: Solve for x
    x = 67,396,992/9,391.68
  6. Step 6: Final answer
    x = 7,176.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.