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Finding the Fourth Proportional to 7,186, 10,779 and 1,991.88

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Solution

The fourth proportional to 7,186, 10,779 and 1,991.88 is: 2,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186 : 10,779 = 1,991.88 : x
  2. Step 2: Convert to fraction form
    7,186/10,779 = 1,991.88/x
  3. Step 3: Cross multiply
    7,186x = 10,779 × 1,991.88
  4. Step 4: Simplify right side
    7,186x = 21,470,474.52
  5. Step 5: Solve for x
    x = 21,470,474.52/7,186
  6. Step 6: Final answer
    x = 2,987.82

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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.