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Finding the Fourth Proportional to 11,274, 16,892.70 and 6,878.10

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Solution

The fourth proportional to 11,274, 16,892.70 and 6,878.10 is: 10,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274 : 16,892.70 = 6,878.10 : x
  2. Step 2: Convert to fraction form
    11,274/16,892.70 = 6,878.10/x
  3. Step 3: Cross multiply
    11,274x = 16,892.70 × 6,878.10
  4. Step 4: Simplify right side
    11,274x = 116,189,679.87
  5. Step 5: Solve for x
    x = 116,189,679.87/11,274
  6. Step 6: Final answer
    x = 10,305.99

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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.