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Finding the Fourth Proportional to 27,361.28, 37,760 and 15,585.28

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Solution

The fourth proportional to 27,361.28, 37,760 and 15,585.28 is: 21,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,361.28 : 37,760 = 15,585.28 : x
  2. Step 2: Convert to fraction form
    27,361.28/37,760 = 15,585.28/x
  3. Step 3: Cross multiply
    27,361.28x = 37,760 × 15,585.28
  4. Step 4: Simplify right side
    27,361.28x = 588,500,172.80
  5. Step 5: Solve for x
    x = 588,500,172.80/27,361.28
  6. Step 6: Final answer
    x = 21,508.50

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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.