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Finding the Fourth Proportional to 9,351.92, 12,906.48 and 5,160.32

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Solution

The fourth proportional to 9,351.92, 12,906.48 and 5,160.32 is: 7,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.92 : 12,906.48 = 5,160.32 : x
  2. Step 2: Convert to fraction form
    9,351.92/12,906.48 = 5,160.32/x
  3. Step 3: Cross multiply
    9,351.92x = 12,906.48 × 5,160.32
  4. Step 4: Simplify right side
    9,351.92x = 66,601,566.87
  5. Step 5: Solve for x
    x = 66,601,566.87/9,351.92
  6. Step 6: Final answer
    x = 7,121.70

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1.5x scale

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.