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Finding the Fourth Proportional to 2,639.26, 3,959.49 and 907.78

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Solution

The fourth proportional to 2,639.26, 3,959.49 and 907.78 is: 1,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.26 : 3,959.49 = 907.78 : x
  2. Step 2: Convert to fraction form
    2,639.26/3,959.49 = 907.78/x
  3. Step 3: Cross multiply
    2,639.26x = 3,959.49 × 907.78
  4. Step 4: Simplify right side
    2,639.26x = 3,594,345.83
  5. Step 5: Solve for x
    x = 3,594,345.83/2,639.26
  6. Step 6: Final answer
    x = 1,361.88

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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.