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Finding the Fourth Proportional to 2,805.88, 4,201.42 and 1,979.64

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Solution

The fourth proportional to 2,805.88, 4,201.42 and 1,979.64 is: 2,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.88 : 4,201.42 = 1,979.64 : x
  2. Step 2: Convert to fraction form
    2,805.88/4,201.42 = 1,979.64/x
  3. Step 3: Cross multiply
    2,805.88x = 4,201.42 × 1,979.64
  4. Step 4: Simplify right side
    2,805.88x = 8,317,299.09
  5. Step 5: Solve for x
    x = 8,317,299.09/2,805.88
  6. Step 6: Final answer
    x = 2,964.24

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1.5x scale

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.