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Finding the Fourth Proportional to 5,494.76, 8,239.69 and 3,949.28

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Solution

The fourth proportional to 5,494.76, 8,239.69 and 3,949.28 is: 5,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.76 : 8,239.69 = 3,949.28 : x
  2. Step 2: Convert to fraction form
    5,494.76/8,239.69 = 3,949.28/x
  3. Step 3: Cross multiply
    5,494.76x = 8,239.69 × 3,949.28
  4. Step 4: Simplify right side
    5,494.76x = 32,540,842.92
  5. Step 5: Solve for x
    x = 32,540,842.92/5,494.76
  6. Step 6: Final answer
    x = 5,922.16

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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.