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Finding the Fourth Proportional to 11,951.87, 17,927.80 and 3,186.81

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Solution

The fourth proportional to 11,951.87, 17,927.80 and 3,186.81 is: 4,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.87 : 17,927.80 = 3,186.81 : x
  2. Step 2: Convert to fraction form
    11,951.87/17,927.80 = 3,186.81/x
  3. Step 3: Cross multiply
    11,951.87x = 17,927.80 × 3,186.81
  4. Step 4: Simplify right side
    11,951.87x = 57,132,484.35
  5. Step 5: Solve for x
    x = 57,132,484.35/11,951.87
  6. Step 6: Final answer
    x = 4,780.22

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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.