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Finding the Fourth Proportional to 6,843, 10,264.50 and 3,919.32

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Solution

The fourth proportional to 6,843, 10,264.50 and 3,919.32 is: 5,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843 : 10,264.50 = 3,919.32 : x
  2. Step 2: Convert to fraction form
    6,843/10,264.50 = 3,919.32/x
  3. Step 3: Cross multiply
    6,843x = 10,264.50 × 3,919.32
  4. Step 4: Simplify right side
    6,843x = 40,229,860.14
  5. Step 5: Solve for x
    x = 40,229,860.14/6,843
  6. Step 6: Final answer
    x = 5,878.98

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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.