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Finding the Fourth Proportional to 2,305.94, 3,182.20 and 1,258

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Solution

The fourth proportional to 2,305.94, 3,182.20 and 1,258 is: 1,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.94 : 3,182.20 = 1,258 : x
  2. Step 2: Convert to fraction form
    2,305.94/3,182.20 = 1,258/x
  3. Step 3: Cross multiply
    2,305.94x = 3,182.20 × 1,258
  4. Step 4: Simplify right side
    2,305.94x = 4,003,201.31
  5. Step 5: Solve for x
    x = 4,003,201.31/2,305.94
  6. Step 6: Final answer
    x = 1,736.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.