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Finding the Fourth Proportional to 7,713, 11,568.29 and 3,552.84

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Solution

The fourth proportional to 7,713, 11,568.29 and 3,552.84 is: 5,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713 : 11,568.29 = 3,552.84 : x
  2. Step 2: Convert to fraction form
    7,713/11,568.29 = 3,552.84/x
  3. Step 3: Cross multiply
    7,713x = 11,568.29 × 3,552.84
  4. Step 4: Simplify right side
    7,713x = 41,100,265.68
  5. Step 5: Solve for x
    x = 41,100,265.68/7,713
  6. Step 6: Final answer
    x = 5,328.70

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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.