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Finding the Fourth Proportional to 6,433.99, 9,629.07 and 5,395.17

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Solution

The fourth proportional to 6,433.99, 9,629.07 and 5,395.17 is: 8,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.99 : 9,629.07 = 5,395.17 : x
  2. Step 2: Convert to fraction form
    6,433.99/9,629.07 = 5,395.17/x
  3. Step 3: Cross multiply
    6,433.99x = 9,629.07 × 5,395.17
  4. Step 4: Simplify right side
    6,433.99x = 51,950,469.59
  5. Step 5: Solve for x
    x = 51,950,469.59/6,433.99
  6. Step 6: Final answer
    x = 8,074.38

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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.