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Finding the Fourth Proportional to 6,967.80, 10,452.12 and 2,807.28

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Solution

The fourth proportional to 6,967.80, 10,452.12 and 2,807.28 is: 4,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.80 : 10,452.12 = 2,807.28 : x
  2. Step 2: Convert to fraction form
    6,967.80/10,452.12 = 2,807.28/x
  3. Step 3: Cross multiply
    6,967.80x = 10,452.12 × 2,807.28
  4. Step 4: Simplify right side
    6,967.80x = 29,342,027.43
  5. Step 5: Solve for x
    x = 29,342,027.43/6,967.80
  6. Step 6: Final answer
    x = 4,211.09

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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.