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Finding the Fourth Proportional to 5,568.51, 7,685.78 and 3,891

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Solution

The fourth proportional to 5,568.51, 7,685.78 and 3,891 is: 5,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.51 : 7,685.78 = 3,891 : x
  2. Step 2: Convert to fraction form
    5,568.51/7,685.78 = 3,891/x
  3. Step 3: Cross multiply
    5,568.51x = 7,685.78 × 3,891
  4. Step 4: Simplify right side
    5,568.51x = 29,905,350.53
  5. Step 5: Solve for x
    x = 29,905,350.53/5,568.51
  6. Step 6: Final answer
    x = 5,370.44

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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.