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Finding the Fourth Proportional to 11,991.48, 16,549.74 and 7,274.52

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Solution

The fourth proportional to 11,991.48, 16,549.74 and 7,274.52 is: 10,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.48 : 16,549.74 = 7,274.52 : x
  2. Step 2: Convert to fraction form
    11,991.48/16,549.74 = 7,274.52/x
  3. Step 3: Cross multiply
    11,991.48x = 16,549.74 × 7,274.52
  4. Step 4: Simplify right side
    11,991.48x = 120,391,414.62
  5. Step 5: Solve for x
    x = 120,391,414.62/11,991.48
  6. Step 6: Final answer
    x = 10,039.75

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Similar ratio
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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.