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Finding the Fourth Proportional to 2,639.35, 3,959.30 and 907.75

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Solution

The fourth proportional to 2,639.35, 3,959.30 and 907.75 is: 1,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.35 : 3,959.30 = 907.75 : x
  2. Step 2: Convert to fraction form
    2,639.35/3,959.30 = 907.75/x
  3. Step 3: Cross multiply
    2,639.35x = 3,959.30 × 907.75
  4. Step 4: Simplify right side
    2,639.35x = 3,594,054.58
  5. Step 5: Solve for x
    x = 3,594,054.58/2,639.35
  6. Step 6: Final answer
    x = 1,361.72

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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.