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Finding the Fourth Proportional to 11,918.17, 16,449.03 and 6,614.69

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Solution

The fourth proportional to 11,918.17, 16,449.03 and 6,614.69 is: 9,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.17 : 16,449.03 = 6,614.69 : x
  2. Step 2: Convert to fraction form
    11,918.17/16,449.03 = 6,614.69/x
  3. Step 3: Cross multiply
    11,918.17x = 16,449.03 × 6,614.69
  4. Step 4: Simplify right side
    11,918.17x = 108,805,234.25
  5. Step 5: Solve for x
    x = 108,805,234.25/11,918.17
  6. Step 6: Final answer
    x = 9,129.36

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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.