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Finding the Fourth Proportional to 7,839.74, 11,802.39 and 7,150.83

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Solution

The fourth proportional to 7,839.74, 11,802.39 and 7,150.83 is: 10,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.74 : 11,802.39 = 7,150.83 : x
  2. Step 2: Convert to fraction form
    7,839.74/11,802.39 = 7,150.83/x
  3. Step 3: Cross multiply
    7,839.74x = 11,802.39 × 7,150.83
  4. Step 4: Simplify right side
    7,839.74x = 84,396,884.48
  5. Step 5: Solve for x
    x = 84,396,884.48/7,839.74
  6. Step 6: Final answer
    x = 10,765.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.