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Finding the Fourth Proportional to 11,178, 16,767 and 3,387.42

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Solution

The fourth proportional to 11,178, 16,767 and 3,387.42 is: 5,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 16,767 = 3,387.42 : x
  2. Step 2: Convert to fraction form
    11,178/16,767 = 3,387.42/x
  3. Step 3: Cross multiply
    11,178x = 16,767 × 3,387.42
  4. Step 4: Simplify right side
    11,178x = 56,796,871.14
  5. Step 5: Solve for x
    x = 56,796,871.14/11,178
  6. Step 6: Final answer
    x = 5,081.13

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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.