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Finding the Fourth Proportional to 27,084, 37,380.24 and 15,903.84

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Solution

The fourth proportional to 27,084, 37,380.24 and 15,903.84 is: 21,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084 : 37,380.24 = 15,903.84 : x
  2. Step 2: Convert to fraction form
    27,084/37,380.24 = 15,903.84/x
  3. Step 3: Cross multiply
    27,084x = 37,380.24 × 15,903.84
  4. Step 4: Simplify right side
    27,084x = 594,489,356.12
  5. Step 5: Solve for x
    x = 594,489,356.12/27,084
  6. Step 6: Final answer
    x = 21,949.84

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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.