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Finding the Fourth Proportional to 7,739.93, 11,641.67 and 7,067.43

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Solution

The fourth proportional to 7,739.93, 11,641.67 and 7,067.43 is: 10,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.93 : 11,641.67 = 7,067.43 : x
  2. Step 2: Convert to fraction form
    7,739.93/11,641.67 = 7,067.43/x
  3. Step 3: Cross multiply
    7,739.93x = 11,641.67 × 7,067.43
  4. Step 4: Simplify right side
    7,739.93x = 82,276,685.99
  5. Step 5: Solve for x
    x = 82,276,685.99/7,739.93
  6. Step 6: Final answer
    x = 10,630.16

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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.