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Finding the Fourth Proportional to 2,907.70, 4,361.19 and 960.10

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Solution

The fourth proportional to 2,907.70, 4,361.19 and 960.10 is: 1,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.70 : 4,361.19 = 960.10 : x
  2. Step 2: Convert to fraction form
    2,907.70/4,361.19 = 960.10/x
  3. Step 3: Cross multiply
    2,907.70x = 4,361.19 × 960.10
  4. Step 4: Simplify right side
    2,907.70x = 4,187,178.52
  5. Step 5: Solve for x
    x = 4,187,178.52/2,907.70
  6. Step 6: Final answer
    x = 1,440.03

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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.