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Finding the Fourth Proportional to 10,931, 16,396.56 and 2,723

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Solution

The fourth proportional to 10,931, 16,396.56 and 2,723 is: 4,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931 : 16,396.56 = 2,723 : x
  2. Step 2: Convert to fraction form
    10,931/16,396.56 = 2,723/x
  3. Step 3: Cross multiply
    10,931x = 16,396.56 × 2,723
  4. Step 4: Simplify right side
    10,931x = 44,647,832.88
  5. Step 5: Solve for x
    x = 44,647,832.88/10,931
  6. Step 6: Final answer
    x = 4,084.51

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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.