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Finding the Fourth Proportional to 3,342, 5,013.09 and 1,033.50

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Solution

The fourth proportional to 3,342, 5,013.09 and 1,033.50 is: 1,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342 : 5,013.09 = 1,033.50 : x
  2. Step 2: Convert to fraction form
    3,342/5,013.09 = 1,033.50/x
  3. Step 3: Cross multiply
    3,342x = 5,013.09 × 1,033.50
  4. Step 4: Simplify right side
    3,342x = 5,181,028.52
  5. Step 5: Solve for x
    x = 5,181,028.52/3,342
  6. Step 6: Final answer
    x = 1,550.28

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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.