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Finding the Fourth Proportional to 9,264.69, 12,786.35 and 5,286.38

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Solution

The fourth proportional to 9,264.69, 12,786.35 and 5,286.38 is: 7,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.69 : 12,786.35 = 5,286.38 : x
  2. Step 2: Convert to fraction form
    9,264.69/12,786.35 = 5,286.38/x
  3. Step 3: Cross multiply
    9,264.69x = 12,786.35 × 5,286.38
  4. Step 4: Simplify right side
    9,264.69x = 67,593,414.55
  5. Step 5: Solve for x
    x = 67,593,414.55/9,264.69
  6. Step 6: Final answer
    x = 7,295.81

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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.