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Finding the Fourth Proportional to 9,136.75, 13,694.09 and 4,449.74

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Solution

The fourth proportional to 9,136.75, 13,694.09 and 4,449.74 is: 6,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.75 : 13,694.09 = 4,449.74 : x
  2. Step 2: Convert to fraction form
    9,136.75/13,694.09 = 4,449.74/x
  3. Step 3: Cross multiply
    9,136.75x = 13,694.09 × 4,449.74
  4. Step 4: Simplify right side
    9,136.75x = 60,935,140.04
  5. Step 5: Solve for x
    x = 60,935,140.04/9,136.75
  6. Step 6: Final answer
    x = 6,669.24

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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.