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Finding the Fourth Proportional to 5,310.08, 7,964.56 and 1,414.88

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Solution

The fourth proportional to 5,310.08, 7,964.56 and 1,414.88 is: 2,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.08 : 7,964.56 = 1,414.88 : x
  2. Step 2: Convert to fraction form
    5,310.08/7,964.56 = 1,414.88/x
  3. Step 3: Cross multiply
    5,310.08x = 7,964.56 × 1,414.88
  4. Step 4: Simplify right side
    5,310.08x = 11,268,896.65
  5. Step 5: Solve for x
    x = 11,268,896.65/5,310.08
  6. Step 6: Final answer
    x = 2,122.17

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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.