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Finding the Fourth Proportional to 21,220.92, 31,782.92 and 10,135.41

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Solution

The fourth proportional to 21,220.92, 31,782.92 and 10,135.41 is: 15,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.92 : 31,782.92 = 10,135.41 : x
  2. Step 2: Convert to fraction form
    21,220.92/31,782.92 = 10,135.41/x
  3. Step 3: Cross multiply
    21,220.92x = 31,782.92 × 10,135.41
  4. Step 4: Simplify right side
    21,220.92x = 322,132,925.20
  5. Step 5: Solve for x
    x = 322,132,925.20/21,220.92
  6. Step 6: Final answer
    x = 15,179.97

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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.