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Finding the Fourth Proportional to 5,611.92, 8,419.24 and 3,971.68

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Solution

The fourth proportional to 5,611.92, 8,419.24 and 3,971.68 is: 5,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.92 : 8,419.24 = 3,971.68 : x
  2. Step 2: Convert to fraction form
    5,611.92/8,419.24 = 3,971.68/x
  3. Step 3: Cross multiply
    5,611.92x = 8,419.24 × 3,971.68
  4. Step 4: Simplify right side
    5,611.92x = 33,438,527.12
  5. Step 5: Solve for x
    x = 33,438,527.12/5,611.92
  6. Step 6: Final answer
    x = 5,958.48

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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.