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Finding the Fourth Proportional to 7,812.96, 11,707.92 and 3,912

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Solution

The fourth proportional to 7,812.96, 11,707.92 and 3,912 is: 5,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.96 : 11,707.92 = 3,912 : x
  2. Step 2: Convert to fraction form
    7,812.96/11,707.92 = 3,912/x
  3. Step 3: Cross multiply
    7,812.96x = 11,707.92 × 3,912
  4. Step 4: Simplify right side
    7,812.96x = 45,801,383.04
  5. Step 5: Solve for x
    x = 45,801,383.04/7,812.96
  6. Step 6: Final answer
    x = 5,862.23

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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.