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Finding the Fourth Proportional to 2,361.77, 3,542.57 and 630.38

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Solution

The fourth proportional to 2,361.77, 3,542.57 and 630.38 is: 945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.77 : 3,542.57 = 630.38 : x
  2. Step 2: Convert to fraction form
    2,361.77/3,542.57 = 630.38/x
  3. Step 3: Cross multiply
    2,361.77x = 3,542.57 × 630.38
  4. Step 4: Simplify right side
    2,361.77x = 2,233,162.12
  5. Step 5: Solve for x
    x = 2,233,162.12/2,361.77
  6. Step 6: Final answer
    x = 945.55

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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.