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Finding the Fourth Proportional to 3,990.95, 5,986.76 and 1,217.64

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Solution

The fourth proportional to 3,990.95, 5,986.76 and 1,217.64 is: 1,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.95 : 5,986.76 = 1,217.64 : x
  2. Step 2: Convert to fraction form
    3,990.95/5,986.76 = 1,217.64/x
  3. Step 3: Cross multiply
    3,990.95x = 5,986.76 × 1,217.64
  4. Step 4: Simplify right side
    3,990.95x = 7,289,718.45
  5. Step 5: Solve for x
    x = 7,289,718.45/3,990.95
  6. Step 6: Final answer
    x = 1,826.56

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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.