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Finding the Fourth Proportional to 9,251.70, 12,767.67 and 5,716.86

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Solution

The fourth proportional to 9,251.70, 12,767.67 and 5,716.86 is: 7,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.70 : 12,767.67 = 5,716.86 : x
  2. Step 2: Convert to fraction form
    9,251.70/12,767.67 = 5,716.86/x
  3. Step 3: Cross multiply
    9,251.70x = 12,767.67 × 5,716.86
  4. Step 4: Simplify right side
    9,251.70x = 72,990,981.92
  5. Step 5: Solve for x
    x = 72,990,981.92/9,251.70
  6. Step 6: Final answer
    x = 7,889.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.