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Finding the Fourth Proportional to 15,744, 21,715.20 and 11,028.48

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Solution

The fourth proportional to 15,744, 21,715.20 and 11,028.48 is: 15,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 21,715.20 = 11,028.48 : x
  2. Step 2: Convert to fraction form
    15,744/21,715.20 = 11,028.48/x
  3. Step 3: Cross multiply
    15,744x = 21,715.20 × 11,028.48
  4. Step 4: Simplify right side
    15,744x = 239,485,648.90
  5. Step 5: Solve for x
    x = 239,485,648.90/15,744
  6. Step 6: Final answer
    x = 15,211.23

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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.