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Finding the Fourth Proportional to 9,882.39, 13,629.82 and 8,395.23

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Solution

The fourth proportional to 9,882.39, 13,629.82 and 8,395.23 is: 11,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.39 : 13,629.82 = 8,395.23 : x
  2. Step 2: Convert to fraction form
    9,882.39/13,629.82 = 8,395.23/x
  3. Step 3: Cross multiply
    9,882.39x = 13,629.82 × 8,395.23
  4. Step 4: Simplify right side
    9,882.39x = 114,425,473.76
  5. Step 5: Solve for x
    x = 114,425,473.76/9,882.39
  6. Step 6: Final answer
    x = 11,578.72

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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.