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Finding the Fourth Proportional to 5,989.50, 8,986.02 and 3,069.85

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Solution

The fourth proportional to 5,989.50, 8,986.02 and 3,069.85 is: 4,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.50 : 8,986.02 = 3,069.85 : x
  2. Step 2: Convert to fraction form
    5,989.50/8,986.02 = 3,069.85/x
  3. Step 3: Cross multiply
    5,989.50x = 8,986.02 × 3,069.85
  4. Step 4: Simplify right side
    5,989.50x = 27,585,733.50
  5. Step 5: Solve for x
    x = 27,585,733.50/5,989.50
  6. Step 6: Final answer
    x = 4,605.68

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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.