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Finding the Fourth Proportional to 2,306, 3,182.31 and 1,258.09

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Solution

The fourth proportional to 2,306, 3,182.31 and 1,258.09 is: 1,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 3,182.31 = 1,258.09 : x
  2. Step 2: Convert to fraction form
    2,306/3,182.31 = 1,258.09/x
  3. Step 3: Cross multiply
    2,306x = 3,182.31 × 1,258.09
  4. Step 4: Simplify right side
    2,306x = 4,003,610.19
  5. Step 5: Solve for x
    x = 4,003,610.19/2,306
  6. Step 6: Final answer
    x = 1,736.17

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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.