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Finding the Fourth Proportional to 18,641.76, 27,963.96 and 6,161.28

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Solution

The fourth proportional to 18,641.76, 27,963.96 and 6,161.28 is: 9,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.76 : 27,963.96 = 6,161.28 : x
  2. Step 2: Convert to fraction form
    18,641.76/27,963.96 = 6,161.28/x
  3. Step 3: Cross multiply
    18,641.76x = 27,963.96 × 6,161.28
  4. Step 4: Simplify right side
    18,641.76x = 172,293,787.47
  5. Step 5: Solve for x
    x = 172,293,787.47/18,641.76
  6. Step 6: Final answer
    x = 9,242.36

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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.