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Finding the Fourth Proportional to 2,615.92, 3,923.16 and 766.96

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Solution

The fourth proportional to 2,615.92, 3,923.16 and 766.96 is: 1,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.92 : 3,923.16 = 766.96 : x
  2. Step 2: Convert to fraction form
    2,615.92/3,923.16 = 766.96/x
  3. Step 3: Cross multiply
    2,615.92x = 3,923.16 × 766.96
  4. Step 4: Simplify right side
    2,615.92x = 3,008,906.79
  5. Step 5: Solve for x
    x = 3,008,906.79/2,615.92
  6. Step 6: Final answer
    x = 1,150.23

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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.