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Finding the Fourth Proportional to 7,843.38, 10,824.54 and 4,307.28

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Solution

The fourth proportional to 7,843.38, 10,824.54 and 4,307.28 is: 5,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.38 : 10,824.54 = 4,307.28 : x
  2. Step 2: Convert to fraction form
    7,843.38/10,824.54 = 4,307.28/x
  3. Step 3: Cross multiply
    7,843.38x = 10,824.54 × 4,307.28
  4. Step 4: Simplify right side
    7,843.38x = 46,624,324.65
  5. Step 5: Solve for x
    x = 46,624,324.65/7,843.38
  6. Step 6: Final answer
    x = 5,944.42

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Double scale
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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.