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Finding the Fourth Proportional to 11,637.39, 17,449.47 and 7,944.09

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Solution

The fourth proportional to 11,637.39, 17,449.47 and 7,944.09 is: 11,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.39 : 17,449.47 = 7,944.09 : x
  2. Step 2: Convert to fraction form
    11,637.39/17,449.47 = 7,944.09/x
  3. Step 3: Cross multiply
    11,637.39x = 17,449.47 × 7,944.09
  4. Step 4: Simplify right side
    11,637.39x = 138,620,160.13
  5. Step 5: Solve for x
    x = 138,620,160.13/11,637.39
  6. Step 6: Final answer
    x = 11,911.62

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1.5x scale

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.