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Finding the Fourth Proportional to 6,453.14, 8,909.56 and 4,469.78

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Solution

The fourth proportional to 6,453.14, 8,909.56 and 4,469.78 is: 6,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.14 : 8,909.56 = 4,469.78 : x
  2. Step 2: Convert to fraction form
    6,453.14/8,909.56 = 4,469.78/x
  3. Step 3: Cross multiply
    6,453.14x = 8,909.56 × 4,469.78
  4. Step 4: Simplify right side
    6,453.14x = 39,823,773.10
  5. Step 5: Solve for x
    x = 39,823,773.10/6,453.14
  6. Step 6: Final answer
    x = 6,171.22

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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.