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Finding the Fourth Proportional to 6,874.26, 10,311.12 and 1,680

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Solution

The fourth proportional to 6,874.26, 10,311.12 and 1,680 is: 2,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.26 : 10,311.12 = 1,680 : x
  2. Step 2: Convert to fraction form
    6,874.26/10,311.12 = 1,680/x
  3. Step 3: Cross multiply
    6,874.26x = 10,311.12 × 1,680
  4. Step 4: Simplify right side
    6,874.26x = 17,322,681.60
  5. Step 5: Solve for x
    x = 17,322,681.60/6,874.26
  6. Step 6: Final answer
    x = 2,519.93

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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.