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Finding the Fourth Proportional to 6,311.97, 8,706.11 and 5,361.21

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Solution

The fourth proportional to 6,311.97, 8,706.11 and 5,361.21 is: 7,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.97 : 8,706.11 = 5,361.21 : x
  2. Step 2: Convert to fraction form
    6,311.97/8,706.11 = 5,361.21/x
  3. Step 3: Cross multiply
    6,311.97x = 8,706.11 × 5,361.21
  4. Step 4: Simplify right side
    6,311.97x = 46,675,257.19
  5. Step 5: Solve for x
    x = 46,675,257.19/6,311.97
  6. Step 6: Final answer
    x = 7,394.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.