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Finding the Fourth Proportional to 6,394.50, 8,824.50 and 3,910.50

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Solution

The fourth proportional to 6,394.50, 8,824.50 and 3,910.50 is: 5,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.50 : 8,824.50 = 3,910.50 : x
  2. Step 2: Convert to fraction form
    6,394.50/8,824.50 = 3,910.50/x
  3. Step 3: Cross multiply
    6,394.50x = 8,824.50 × 3,910.50
  4. Step 4: Simplify right side
    6,394.50x = 34,508,207.25
  5. Step 5: Solve for x
    x = 34,508,207.25/6,394.50
  6. Step 6: Final answer
    x = 5,396.55

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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.