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Finding the Fourth Proportional to 21,159.28, 29,200.80 and 11,728

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Solution

The fourth proportional to 21,159.28, 29,200.80 and 11,728 is: 16,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.28 : 29,200.80 = 11,728 : x
  2. Step 2: Convert to fraction form
    21,159.28/29,200.80 = 11,728/x
  3. Step 3: Cross multiply
    21,159.28x = 29,200.80 × 11,728
  4. Step 4: Simplify right side
    21,159.28x = 342,466,982.40
  5. Step 5: Solve for x
    x = 342,466,982.40/21,159.28
  6. Step 6: Final answer
    x = 16,185.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.