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Finding the Fourth Proportional to 2,689.92, 4,035.33 and 841.22

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Solution

The fourth proportional to 2,689.92, 4,035.33 and 841.22 is: 1,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.92 : 4,035.33 = 841.22 : x
  2. Step 2: Convert to fraction form
    2,689.92/4,035.33 = 841.22/x
  3. Step 3: Cross multiply
    2,689.92x = 4,035.33 × 841.22
  4. Step 4: Simplify right side
    2,689.92x = 3,394,580.13
  5. Step 5: Solve for x
    x = 3,394,580.13/2,689.92
  6. Step 6: Final answer
    x = 1,261.96

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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.