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Finding the Fourth Proportional to 6,874.93, 10,312.80 and 2,979.64

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Solution

The fourth proportional to 6,874.93, 10,312.80 and 2,979.64 is: 4,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.93 : 10,312.80 = 2,979.64 : x
  2. Step 2: Convert to fraction form
    6,874.93/10,312.80 = 2,979.64/x
  3. Step 3: Cross multiply
    6,874.93x = 10,312.80 × 2,979.64
  4. Step 4: Simplify right side
    6,874.93x = 30,728,431.39
  5. Step 5: Solve for x
    x = 30,728,431.39/6,874.93
  6. Step 6: Final answer
    x = 4,469.64

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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.