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Finding the Fourth Proportional to 11,154.75, 15,393.74 and 6,186.75

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Solution

The fourth proportional to 11,154.75, 15,393.74 and 6,186.75 is: 8,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.75 : 15,393.74 = 6,186.75 : x
  2. Step 2: Convert to fraction form
    11,154.75/15,393.74 = 6,186.75/x
  3. Step 3: Cross multiply
    11,154.75x = 15,393.74 × 6,186.75
  4. Step 4: Simplify right side
    11,154.75x = 95,237,190.01
  5. Step 5: Solve for x
    x = 95,237,190.01/11,154.75
  6. Step 6: Final answer
    x = 8,537.81

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Half scale
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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.