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Finding the Fourth Proportional to 5,717.72, 7,890.76 and 3,199.68

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Solution

The fourth proportional to 5,717.72, 7,890.76 and 3,199.68 is: 4,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.72 : 7,890.76 = 3,199.68 : x
  2. Step 2: Convert to fraction form
    5,717.72/7,890.76 = 3,199.68/x
  3. Step 3: Cross multiply
    5,717.72x = 7,890.76 × 3,199.68
  4. Step 4: Simplify right side
    5,717.72x = 25,247,906.96
  5. Step 5: Solve for x
    x = 25,247,906.96/5,717.72
  6. Step 6: Final answer
    x = 4,415.73

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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.