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Finding the Fourth Proportional to 6,469.44, 9,688.22 and 3,689.25

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Solution

The fourth proportional to 6,469.44, 9,688.22 and 3,689.25 is: 5,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.44 : 9,688.22 = 3,689.25 : x
  2. Step 2: Convert to fraction form
    6,469.44/9,688.22 = 3,689.25/x
  3. Step 3: Cross multiply
    6,469.44x = 9,688.22 × 3,689.25
  4. Step 4: Simplify right side
    6,469.44x = 35,742,217.19
  5. Step 5: Solve for x
    x = 35,742,217.19/6,469.44
  6. Step 6: Final answer
    x = 5,524.78

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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.