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Finding the Fourth Proportional to 8,787.82, 13,182.90 and 2,943.22

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Solution

The fourth proportional to 8,787.82, 13,182.90 and 2,943.22 is: 4,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,787.82 : 13,182.90 = 2,943.22 : x
  2. Step 2: Convert to fraction form
    8,787.82/13,182.90 = 2,943.22/x
  3. Step 3: Cross multiply
    8,787.82x = 13,182.90 × 2,943.22
  4. Step 4: Simplify right side
    8,787.82x = 38,800,174.94
  5. Step 5: Solve for x
    x = 38,800,174.94/8,787.82
  6. Step 6: Final answer
    x = 4,415.22

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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.