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Finding the Fourth Proportional to 27,137.60, 40,687.20 and 10,491.20

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Solution

The fourth proportional to 27,137.60, 40,687.20 and 10,491.20 is: 15,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.60 : 40,687.20 = 10,491.20 : x
  2. Step 2: Convert to fraction form
    27,137.60/40,687.20 = 10,491.20/x
  3. Step 3: Cross multiply
    27,137.60x = 40,687.20 × 10,491.20
  4. Step 4: Simplify right side
    27,137.60x = 426,857,552.64
  5. Step 5: Solve for x
    x = 426,857,552.64/27,137.60
  6. Step 6: Final answer
    x = 15,729.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.