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Finding the Fourth Proportional to 11,991.34, 17,972.07 and 7,064.38

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Solution

The fourth proportional to 11,991.34, 17,972.07 and 7,064.38 is: 10,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.34 : 17,972.07 = 7,064.38 : x
  2. Step 2: Convert to fraction form
    11,991.34/17,972.07 = 7,064.38/x
  3. Step 3: Cross multiply
    11,991.34x = 17,972.07 × 7,064.38
  4. Step 4: Simplify right side
    11,991.34x = 126,961,531.87
  5. Step 5: Solve for x
    x = 126,961,531.87/11,991.34
  6. Step 6: Final answer
    x = 10,587.77

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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.