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Finding the Fourth Proportional to 1,236.72, 1,705.96 and 1,027.92

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Solution

The fourth proportional to 1,236.72, 1,705.96 and 1,027.92 is: 1,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.72 : 1,705.96 = 1,027.92 : x
  2. Step 2: Convert to fraction form
    1,236.72/1,705.96 = 1,027.92/x
  3. Step 3: Cross multiply
    1,236.72x = 1,705.96 × 1,027.92
  4. Step 4: Simplify right side
    1,236.72x = 1,753,590.40
  5. Step 5: Solve for x
    x = 1,753,590.40/1,236.72
  6. Step 6: Final answer
    x = 1,417.94

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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.