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Finding the Fourth Proportional to 7,911.05, 11,866.23 and 1,987.92

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Solution

The fourth proportional to 7,911.05, 11,866.23 and 1,987.92 is: 2,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.05 : 11,866.23 = 1,987.92 : x
  2. Step 2: Convert to fraction form
    7,911.05/11,866.23 = 1,987.92/x
  3. Step 3: Cross multiply
    7,911.05x = 11,866.23 × 1,987.92
  4. Step 4: Simplify right side
    7,911.05x = 23,589,115.94
  5. Step 5: Solve for x
    x = 23,589,115.94/7,911.05
  6. Step 6: Final answer
    x = 2,981.80

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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.