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Finding the Fourth Proportional to 9,879.68, 13,629.39 and 5,685.50

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Solution

The fourth proportional to 9,879.68, 13,629.39 and 5,685.50 is: 7,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.68 : 13,629.39 = 5,685.50 : x
  2. Step 2: Convert to fraction form
    9,879.68/13,629.39 = 5,685.50/x
  3. Step 3: Cross multiply
    9,879.68x = 13,629.39 × 5,685.50
  4. Step 4: Simplify right side
    9,879.68x = 77,489,896.85
  5. Step 5: Solve for x
    x = 77,489,896.85/9,879.68
  6. Step 6: Final answer
    x = 7,843.36

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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.