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Finding the Fourth Proportional to 11,756.44, 16,221 and 6,719.14

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Solution

The fourth proportional to 11,756.44, 16,221 and 6,719.14 is: 9,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.44 : 16,221 = 6,719.14 : x
  2. Step 2: Convert to fraction form
    11,756.44/16,221 = 6,719.14/x
  3. Step 3: Cross multiply
    11,756.44x = 16,221 × 6,719.14
  4. Step 4: Simplify right side
    11,756.44x = 108,991,169.94
  5. Step 5: Solve for x
    x = 108,991,169.94/11,756.44
  6. Step 6: Final answer
    x = 9,270.76

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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.