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Finding the Fourth Proportional to 9,046.96, 12,480.96 and 6,396.64

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Solution

The fourth proportional to 9,046.96, 12,480.96 and 6,396.64 is: 8,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.96 : 12,480.96 = 6,396.64 : x
  2. Step 2: Convert to fraction form
    9,046.96/12,480.96 = 6,396.64/x
  3. Step 3: Cross multiply
    9,046.96x = 12,480.96 × 6,396.64
  4. Step 4: Simplify right side
    9,046.96x = 79,836,207.97
  5. Step 5: Solve for x
    x = 79,836,207.97/9,046.96
  6. Step 6: Final answer
    x = 8,824.64

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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.