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Finding the Fourth Proportional to 9,661.39, 13,333.95 and 5,682.87

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Solution

The fourth proportional to 9,661.39, 13,333.95 and 5,682.87 is: 7,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.39 : 13,333.95 = 5,682.87 : x
  2. Step 2: Convert to fraction form
    9,661.39/13,333.95 = 5,682.87/x
  3. Step 3: Cross multiply
    9,661.39x = 13,333.95 × 5,682.87
  4. Step 4: Simplify right side
    9,661.39x = 75,775,104.44
  5. Step 5: Solve for x
    x = 75,775,104.44/9,661.39
  6. Step 6: Final answer
    x = 7,843.09

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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.