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Finding the Fourth Proportional to 21,108, 31,641.36 and 17,167.36

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Solution

The fourth proportional to 21,108, 31,641.36 and 17,167.36 is: 25,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108 : 31,641.36 = 17,167.36 : x
  2. Step 2: Convert to fraction form
    21,108/31,641.36 = 17,167.36/x
  3. Step 3: Cross multiply
    21,108x = 31,641.36 × 17,167.36
  4. Step 4: Simplify right side
    21,108x = 543,198,618.01
  5. Step 5: Solve for x
    x = 543,198,618.01/21,108
  6. Step 6: Final answer
    x = 25,734.25

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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.