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Finding the Fourth Proportional to 18,491.27, 27,737.10 and 5,343.75

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Solution

The fourth proportional to 18,491.27, 27,737.10 and 5,343.75 is: 8,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,491.27 : 27,737.10 = 5,343.75 : x
  2. Step 2: Convert to fraction form
    18,491.27/27,737.10 = 5,343.75/x
  3. Step 3: Cross multiply
    18,491.27x = 27,737.10 × 5,343.75
  4. Step 4: Simplify right side
    18,491.27x = 148,220,128.13
  5. Step 5: Solve for x
    x = 148,220,128.13/18,491.27
  6. Step 6: Final answer
    x = 8,015.68

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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.