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Finding the Fourth Proportional to 11,872.08, 16,389 and 7,681.68

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Solution

The fourth proportional to 11,872.08, 16,389 and 7,681.68 is: 10,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.08 : 16,389 = 7,681.68 : x
  2. Step 2: Convert to fraction form
    11,872.08/16,389 = 7,681.68/x
  3. Step 3: Cross multiply
    11,872.08x = 16,389 × 7,681.68
  4. Step 4: Simplify right side
    11,872.08x = 125,895,053.52
  5. Step 5: Solve for x
    x = 125,895,053.52/11,872.08
  6. Step 6: Final answer
    x = 10,604.30

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Why These Related Problems?

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