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Finding the Fourth Proportional to 3,986.16, 5,500.63 and 2,494

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Solution

The fourth proportional to 3,986.16, 5,500.63 and 2,494 is: 3,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.16 : 5,500.63 = 2,494 : x
  2. Step 2: Convert to fraction form
    3,986.16/5,500.63 = 2,494/x
  3. Step 3: Cross multiply
    3,986.16x = 5,500.63 × 2,494
  4. Step 4: Simplify right side
    3,986.16x = 13,718,571.22
  5. Step 5: Solve for x
    x = 13,718,571.22/3,986.16
  6. Step 6: Final answer
    x = 3,441.55

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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.