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Finding the Fourth Proportional to 11,947.62, 16,489.44 and 7,167.78

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Solution

The fourth proportional to 11,947.62, 16,489.44 and 7,167.78 is: 9,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.62 : 16,489.44 = 7,167.78 : x
  2. Step 2: Convert to fraction form
    11,947.62/16,489.44 = 7,167.78/x
  3. Step 3: Cross multiply
    11,947.62x = 16,489.44 × 7,167.78
  4. Step 4: Simplify right side
    11,947.62x = 118,192,678.24
  5. Step 5: Solve for x
    x = 118,192,678.24/11,947.62
  6. Step 6: Final answer
    x = 9,892.57

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1.5x scale

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.