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Finding the Fourth Proportional to 7,894.92, 11,844.09 and 3,948.30

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Solution

The fourth proportional to 7,894.92, 11,844.09 and 3,948.30 is: 5,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.92 : 11,844.09 = 3,948.30 : x
  2. Step 2: Convert to fraction form
    7,894.92/11,844.09 = 3,948.30/x
  3. Step 3: Cross multiply
    7,894.92x = 11,844.09 × 3,948.30
  4. Step 4: Simplify right side
    7,894.92x = 46,764,020.55
  5. Step 5: Solve for x
    x = 46,764,020.55/7,894.92
  6. Step 6: Final answer
    x = 5,923.31

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Double scale
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1.5x scale

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.