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Finding the Fourth Proportional to 7,812.31, 11,720.15 and 2,881.97

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Solution

The fourth proportional to 7,812.31, 11,720.15 and 2,881.97 is: 4,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.31 : 11,720.15 = 2,881.97 : x
  2. Step 2: Convert to fraction form
    7,812.31/11,720.15 = 2,881.97/x
  3. Step 3: Cross multiply
    7,812.31x = 11,720.15 × 2,881.97
  4. Step 4: Simplify right side
    7,812.31x = 33,777,120.70
  5. Step 5: Solve for x
    x = 33,777,120.70/7,812.31
  6. Step 6: Final answer
    x = 4,323.58

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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.