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Finding the Fourth Proportional to 11,523.86, 17,286.86 and 8,929.70

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Solution

The fourth proportional to 11,523.86, 17,286.86 and 8,929.70 is: 13,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.86 : 17,286.86 = 8,929.70 : x
  2. Step 2: Convert to fraction form
    11,523.86/17,286.86 = 8,929.70/x
  3. Step 3: Cross multiply
    11,523.86x = 17,286.86 × 8,929.70
  4. Step 4: Simplify right side
    11,523.86x = 154,366,473.74
  5. Step 5: Solve for x
    x = 154,366,473.74/11,523.86
  6. Step 6: Final answer
    x = 13,395.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.