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Finding the Fourth Proportional to 20,192, 27,862.72 and 11,237.44

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Solution

The fourth proportional to 20,192, 27,862.72 and 11,237.44 is: 15,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192 : 27,862.72 = 11,237.44 : x
  2. Step 2: Convert to fraction form
    20,192/27,862.72 = 11,237.44/x
  3. Step 3: Cross multiply
    20,192x = 27,862.72 × 11,237.44
  4. Step 4: Simplify right side
    20,192x = 313,105,644.24
  5. Step 5: Solve for x
    x = 313,105,644.24/20,192
  6. Step 6: Final answer
    x = 15,506.42

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1.5x scale

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.