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Finding the Fourth Proportional to 6,895, 10,343.94 and 2,791

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Solution

The fourth proportional to 6,895, 10,343.94 and 2,791 is: 4,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895 : 10,343.94 = 2,791 : x
  2. Step 2: Convert to fraction form
    6,895/10,343.94 = 2,791/x
  3. Step 3: Cross multiply
    6,895x = 10,343.94 × 2,791
  4. Step 4: Simplify right side
    6,895x = 28,869,936.54
  5. Step 5: Solve for x
    x = 28,869,936.54/6,895
  6. Step 6: Final answer
    x = 4,187.08

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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.