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Finding the Fourth Proportional to 13,801.74, 19,048.89 and 8,136.16

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Solution

The fourth proportional to 13,801.74, 19,048.89 and 8,136.16 is: 11,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.74 : 19,048.89 = 8,136.16 : x
  2. Step 2: Convert to fraction form
    13,801.74/19,048.89 = 8,136.16/x
  3. Step 3: Cross multiply
    13,801.74x = 19,048.89 × 8,136.16
  4. Step 4: Simplify right side
    13,801.74x = 154,984,816.86
  5. Step 5: Solve for x
    x = 154,984,816.86/13,801.74
  6. Step 6: Final answer
    x = 11,229.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.