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Finding the Fourth Proportional to 1,892.22, 2,834.65 and 1,240.98

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Solution

The fourth proportional to 1,892.22, 2,834.65 and 1,240.98 is: 1,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.22 : 2,834.65 = 1,240.98 : x
  2. Step 2: Convert to fraction form
    1,892.22/2,834.65 = 1,240.98/x
  3. Step 3: Cross multiply
    1,892.22x = 2,834.65 × 1,240.98
  4. Step 4: Simplify right side
    1,892.22x = 3,517,743.96
  5. Step 5: Solve for x
    x = 3,517,743.96/1,892.22
  6. Step 6: Final answer
    x = 1,859.06

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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.