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Finding the Fourth Proportional to 4,897, 6,757.86 and 2,689

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Solution

The fourth proportional to 4,897, 6,757.86 and 2,689 is: 3,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897 : 6,757.86 = 2,689 : x
  2. Step 2: Convert to fraction form
    4,897/6,757.86 = 2,689/x
  3. Step 3: Cross multiply
    4,897x = 6,757.86 × 2,689
  4. Step 4: Simplify right side
    4,897x = 18,171,885.54
  5. Step 5: Solve for x
    x = 18,171,885.54/4,897
  6. Step 6: Final answer
    x = 3,710.82

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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.