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Finding the Fourth Proportional to 6,311.64, 8,706.24 and 4,069.98

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Solution

The fourth proportional to 6,311.64, 8,706.24 and 4,069.98 is: 5,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.64 : 8,706.24 = 4,069.98 : x
  2. Step 2: Convert to fraction form
    6,311.64/8,706.24 = 4,069.98/x
  3. Step 3: Cross multiply
    6,311.64x = 8,706.24 × 4,069.98
  4. Step 4: Simplify right side
    6,311.64x = 35,434,222.68
  5. Step 5: Solve for x
    x = 35,434,222.68/6,311.64
  6. Step 6: Final answer
    x = 5,614.11

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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.