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Finding the Fourth Proportional to 9,691.69, 13,378.59 and 8,207.29

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Solution

The fourth proportional to 9,691.69, 13,378.59 and 8,207.29 is: 11,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.69 : 13,378.59 = 8,207.29 : x
  2. Step 2: Convert to fraction form
    9,691.69/13,378.59 = 8,207.29/x
  3. Step 3: Cross multiply
    9,691.69x = 13,378.59 × 8,207.29
  4. Step 4: Simplify right side
    9,691.69x = 109,801,859.99
  5. Step 5: Solve for x
    x = 109,801,859.99/9,691.69
  6. Step 6: Final answer
    x = 11,329.49

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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.