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Finding the Fourth Proportional to 5,691, 7,846.09 and 4,976.38

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Solution

The fourth proportional to 5,691, 7,846.09 and 4,976.38 is: 6,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 7,846.09 = 4,976.38 : x
  2. Step 2: Convert to fraction form
    5,691/7,846.09 = 4,976.38/x
  3. Step 3: Cross multiply
    5,691x = 7,846.09 × 4,976.38
  4. Step 4: Simplify right side
    5,691x = 39,045,093.30
  5. Step 5: Solve for x
    x = 39,045,093.30/5,691
  6. Step 6: Final answer
    x = 6,860.85

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1.5x scale

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.