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Finding the Fourth Proportional to 3,305.29, 4,957.92 and 840.11

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Solution

The fourth proportional to 3,305.29, 4,957.92 and 840.11 is: 1,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.29 : 4,957.92 = 840.11 : x
  2. Step 2: Convert to fraction form
    3,305.29/4,957.92 = 840.11/x
  3. Step 3: Cross multiply
    3,305.29x = 4,957.92 × 840.11
  4. Step 4: Simplify right side
    3,305.29x = 4,165,183.68
  5. Step 5: Solve for x
    x = 4,165,183.68/3,305.29
  6. Step 6: Final answer
    x = 1,260.16

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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.