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Finding the Fourth Proportional to 2,361.25, 3,542.70 and 900.40

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Solution

The fourth proportional to 2,361.25, 3,542.70 and 900.40 is: 1,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.25 : 3,542.70 = 900.40 : x
  2. Step 2: Convert to fraction form
    2,361.25/3,542.70 = 900.40/x
  3. Step 3: Cross multiply
    2,361.25x = 3,542.70 × 900.40
  4. Step 4: Simplify right side
    2,361.25x = 3,189,847.08
  5. Step 5: Solve for x
    x = 3,189,847.08/2,361.25
  6. Step 6: Final answer
    x = 1,350.91

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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.