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Finding the Fourth Proportional to 3,668, 5,061.84 and 2,012

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Solution

The fourth proportional to 3,668, 5,061.84 and 2,012 is: 2,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668 : 5,061.84 = 2,012 : x
  2. Step 2: Convert to fraction form
    3,668/5,061.84 = 2,012/x
  3. Step 3: Cross multiply
    3,668x = 5,061.84 × 2,012
  4. Step 4: Simplify right side
    3,668x = 10,184,422.08
  5. Step 5: Solve for x
    x = 10,184,422.08/3,668
  6. Step 6: Final answer
    x = 2,776.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.