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Finding the Fourth Proportional to 2,907.28, 4,361.40 and 959.60

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Solution

The fourth proportional to 2,907.28, 4,361.40 and 959.60 is: 1,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.28 : 4,361.40 = 959.60 : x
  2. Step 2: Convert to fraction form
    2,907.28/4,361.40 = 959.60/x
  3. Step 3: Cross multiply
    2,907.28x = 4,361.40 × 959.60
  4. Step 4: Simplify right side
    2,907.28x = 4,185,199.44
  5. Step 5: Solve for x
    x = 4,185,199.44/2,907.28
  6. Step 6: Final answer
    x = 1,439.56

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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.