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Finding the Fourth Proportional to 5,125.87, 7,689.83 and 1,839.22

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Solution

The fourth proportional to 5,125.87, 7,689.83 and 1,839.22 is: 2,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.87 : 7,689.83 = 1,839.22 : x
  2. Step 2: Convert to fraction form
    5,125.87/7,689.83 = 1,839.22/x
  3. Step 3: Cross multiply
    5,125.87x = 7,689.83 × 1,839.22
  4. Step 4: Simplify right side
    5,125.87x = 14,143,260.71
  5. Step 5: Solve for x
    x = 14,143,260.71/5,125.87
  6. Step 6: Final answer
    x = 2,759.19

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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.