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Finding the Fourth Proportional to 27,872.28, 38,462.58 and 15,296.22

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Solution

The fourth proportional to 27,872.28, 38,462.58 and 15,296.22 is: 21,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.28 : 38,462.58 = 15,296.22 : x
  2. Step 2: Convert to fraction form
    27,872.28/38,462.58 = 15,296.22/x
  3. Step 3: Cross multiply
    27,872.28x = 38,462.58 × 15,296.22
  4. Step 4: Simplify right side
    27,872.28x = 588,332,085.45
  5. Step 5: Solve for x
    x = 588,332,085.45/27,872.28
  6. Step 6: Final answer
    x = 21,108.14

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