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Finding the Fourth Proportional to 9,136.65, 13,703.91 and 3,872.43

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Solution

The fourth proportional to 9,136.65, 13,703.91 and 3,872.43 is: 5,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.65 : 13,703.91 = 3,872.43 : x
  2. Step 2: Convert to fraction form
    9,136.65/13,703.91 = 3,872.43/x
  3. Step 3: Cross multiply
    9,136.65x = 13,703.91 × 3,872.43
  4. Step 4: Simplify right side
    9,136.65x = 53,067,467.11
  5. Step 5: Solve for x
    x = 53,067,467.11/9,136.65
  6. Step 6: Final answer
    x = 5,808.20

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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.