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Finding the Fourth Proportional to 2,361.89, 3,542.88 and 630.50

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Solution

The fourth proportional to 2,361.89, 3,542.88 and 630.50 is: 945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.89 : 3,542.88 = 630.50 : x
  2. Step 2: Convert to fraction form
    2,361.89/3,542.88 = 630.50/x
  3. Step 3: Cross multiply
    2,361.89x = 3,542.88 × 630.50
  4. Step 4: Simplify right side
    2,361.89x = 2,233,785.84
  5. Step 5: Solve for x
    x = 2,233,785.84/2,361.89
  6. Step 6: Final answer
    x = 945.76

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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.