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Finding the Fourth Proportional to 1,272.54, 1,908.36 and 1,264.34

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Solution

The fourth proportional to 1,272.54, 1,908.36 and 1,264.34 is: 1,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.54 : 1,908.36 = 1,264.34 : x
  2. Step 2: Convert to fraction form
    1,272.54/1,908.36 = 1,264.34/x
  3. Step 3: Cross multiply
    1,272.54x = 1,908.36 × 1,264.34
  4. Step 4: Simplify right side
    1,272.54x = 2,412,820.65
  5. Step 5: Solve for x
    x = 2,412,820.65/1,272.54
  6. Step 6: Final answer
    x = 1,896.06

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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.