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Finding the Fourth Proportional to 1,266.32, 1,754.31 and 1,236.08

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Solution

The fourth proportional to 1,266.32, 1,754.31 and 1,236.08 is: 1,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.32 : 1,754.31 = 1,236.08 : x
  2. Step 2: Convert to fraction form
    1,266.32/1,754.31 = 1,236.08/x
  3. Step 3: Cross multiply
    1,266.32x = 1,754.31 × 1,236.08
  4. Step 4: Simplify right side
    1,266.32x = 2,168,467.50
  5. Step 5: Solve for x
    x = 2,168,467.50/1,266.32
  6. Step 6: Final answer
    x = 1,712.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.