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Finding the Fourth Proportional to 3,361.50, 5,042.25 and 1,053

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Solution

The fourth proportional to 3,361.50, 5,042.25 and 1,053 is: 1,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.50 : 5,042.25 = 1,053 : x
  2. Step 2: Convert to fraction form
    3,361.50/5,042.25 = 1,053/x
  3. Step 3: Cross multiply
    3,361.50x = 5,042.25 × 1,053
  4. Step 4: Simplify right side
    3,361.50x = 5,309,489.25
  5. Step 5: Solve for x
    x = 5,309,489.25/3,361.50
  6. Step 6: Final answer
    x = 1,579.50

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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.