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Finding the Fourth Proportional to 2,191.50, 3,288.78 and 892.98

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Solution

The fourth proportional to 2,191.50, 3,288.78 and 892.98 is: 1,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.50 : 3,288.78 = 892.98 : x
  2. Step 2: Convert to fraction form
    2,191.50/3,288.78 = 892.98/x
  3. Step 3: Cross multiply
    2,191.50x = 3,288.78 × 892.98
  4. Step 4: Simplify right side
    2,191.50x = 2,936,814.76
  5. Step 5: Solve for x
    x = 2,936,814.76/2,191.50
  6. Step 6: Final answer
    x = 1,340.09

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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.