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Finding the Fourth Proportional to 1,236.70, 1,852.51 and 826.03

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Solution

The fourth proportional to 1,236.70, 1,852.51 and 826.03 is: 1,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.70 : 1,852.51 = 826.03 : x
  2. Step 2: Convert to fraction form
    1,236.70/1,852.51 = 826.03/x
  3. Step 3: Cross multiply
    1,236.70x = 1,852.51 × 826.03
  4. Step 4: Simplify right side
    1,236.70x = 1,530,219.57
  5. Step 5: Solve for x
    x = 1,530,219.57/1,236.70
  6. Step 6: Final answer
    x = 1,237.35

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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.