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Finding the Fourth Proportional to 6,114.70, 9,163.95 and 5,418.10

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Solution

The fourth proportional to 6,114.70, 9,163.95 and 5,418.10 is: 8,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.70 : 9,163.95 = 5,418.10 : x
  2. Step 2: Convert to fraction form
    6,114.70/9,163.95 = 5,418.10/x
  3. Step 3: Cross multiply
    6,114.70x = 9,163.95 × 5,418.10
  4. Step 4: Simplify right side
    6,114.70x = 49,651,197.50
  5. Step 5: Solve for x
    x = 49,651,197.50/6,114.70
  6. Step 6: Final answer
    x = 8,119.97

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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.