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Finding the Fourth Proportional to 11,279, 16,918.54 and 3,071

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Solution

The fourth proportional to 11,279, 16,918.54 and 3,071 is: 4,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,279 : 16,918.54 = 3,071 : x
  2. Step 2: Convert to fraction form
    11,279/16,918.54 = 3,071/x
  3. Step 3: Cross multiply
    11,279x = 16,918.54 × 3,071
  4. Step 4: Simplify right side
    11,279x = 51,956,836.34
  5. Step 5: Solve for x
    x = 51,956,836.34/11,279
  6. Step 6: Final answer
    x = 4,606.51

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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.