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Finding the Fourth Proportional to 5,813.62, 8,708.74 and 2,689.24

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Solution

The fourth proportional to 5,813.62, 8,708.74 and 2,689.24 is: 4,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.62 : 8,708.74 = 2,689.24 : x
  2. Step 2: Convert to fraction form
    5,813.62/8,708.74 = 2,689.24/x
  3. Step 3: Cross multiply
    5,813.62x = 8,708.74 × 2,689.24
  4. Step 4: Simplify right side
    5,813.62x = 23,419,891.96
  5. Step 5: Solve for x
    x = 23,419,891.96/5,813.62
  6. Step 6: Final answer
    x = 4,028.45

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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.