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Finding the Fourth Proportional to 5,759, 8,641.38 and 2,639

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Solution

The fourth proportional to 5,759, 8,641.38 and 2,639 is: 3,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759 : 8,641.38 = 2,639 : x
  2. Step 2: Convert to fraction form
    5,759/8,641.38 = 2,639/x
  3. Step 3: Cross multiply
    5,759x = 8,641.38 × 2,639
  4. Step 4: Simplify right side
    5,759x = 22,804,601.82
  5. Step 5: Solve for x
    x = 22,804,601.82/5,759
  6. Step 6: Final answer
    x = 3,959.82

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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.