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Finding the Fourth Proportional to 9,867, 13,640.76 and 9,453.92

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Solution

The fourth proportional to 9,867, 13,640.76 and 9,453.92 is: 13,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867 : 13,640.76 = 9,453.92 : x
  2. Step 2: Convert to fraction form
    9,867/13,640.76 = 9,453.92/x
  3. Step 3: Cross multiply
    9,867x = 13,640.76 × 9,453.92
  4. Step 4: Simplify right side
    9,867x = 128,958,653.78
  5. Step 5: Solve for x
    x = 128,958,653.78/9,867
  6. Step 6: Final answer
    x = 13,069.69

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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.