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Finding the Fourth Proportional to 4,921.92, 7,381.44 and 3,199.68

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Solution

The fourth proportional to 4,921.92, 7,381.44 and 3,199.68 is: 4,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.92 : 7,381.44 = 3,199.68 : x
  2. Step 2: Convert to fraction form
    4,921.92/7,381.44 = 3,199.68/x
  3. Step 3: Cross multiply
    4,921.92x = 7,381.44 × 3,199.68
  4. Step 4: Simplify right side
    4,921.92x = 23,618,245.94
  5. Step 5: Solve for x
    x = 23,618,245.94/4,921.92
  6. Step 6: Final answer
    x = 4,798.58

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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.