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Finding the Fourth Proportional to 3,989.95, 5,986.20 and 1,217.16

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Solution

The fourth proportional to 3,989.95, 5,986.20 and 1,217.16 is: 1,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.95 : 5,986.20 = 1,217.16 : x
  2. Step 2: Convert to fraction form
    3,989.95/5,986.20 = 1,217.16/x
  3. Step 3: Cross multiply
    3,989.95x = 5,986.20 × 1,217.16
  4. Step 4: Simplify right side
    3,989.95x = 7,286,163.19
  5. Step 5: Solve for x
    x = 7,286,163.19/3,989.95
  6. Step 6: Final answer
    x = 1,826.13

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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.