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Finding the Fourth Proportional to 18,491.40, 27,729 and 5,343.48

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Solution

The fourth proportional to 18,491.40, 27,729 and 5,343.48 is: 8,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,491.40 : 27,729 = 5,343.48 : x
  2. Step 2: Convert to fraction form
    18,491.40/27,729 = 5,343.48/x
  3. Step 3: Cross multiply
    18,491.40x = 27,729 × 5,343.48
  4. Step 4: Simplify right side
    18,491.40x = 148,169,356.92
  5. Step 5: Solve for x
    x = 148,169,356.92/18,491.40
  6. Step 6: Final answer
    x = 8,012.88

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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.