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Finding the Fourth Proportional to 7,839.24, 11,801.64 and 7,150.33

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Solution

The fourth proportional to 7,839.24, 11,801.64 and 7,150.33 is: 10,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.24 : 11,801.64 = 7,150.33 : x
  2. Step 2: Convert to fraction form
    7,839.24/11,801.64 = 7,150.33/x
  3. Step 3: Cross multiply
    7,839.24x = 11,801.64 × 7,150.33
  4. Step 4: Simplify right side
    7,839.24x = 84,385,620.54
  5. Step 5: Solve for x
    x = 84,385,620.54/7,839.24
  6. Step 6: Final answer
    x = 10,764.52

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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.