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Finding the Fourth Proportional to 3,867.64, 5,805.30 and 3,011.32

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Solution

The fourth proportional to 3,867.64, 5,805.30 and 3,011.32 is: 4,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.64 : 5,805.30 = 3,011.32 : x
  2. Step 2: Convert to fraction form
    3,867.64/5,805.30 = 3,011.32/x
  3. Step 3: Cross multiply
    3,867.64x = 5,805.30 × 3,011.32
  4. Step 4: Simplify right side
    3,867.64x = 17,481,616.00
  5. Step 5: Solve for x
    x = 17,481,616.00/3,867.64
  6. Step 6: Final answer
    x = 4,519.97

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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.