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Finding the Fourth Proportional to 3,532.33, 5,294.04 and 3,092.50

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Solution

The fourth proportional to 3,532.33, 5,294.04 and 3,092.50 is: 4,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.33 : 5,294.04 = 3,092.50 : x
  2. Step 2: Convert to fraction form
    3,532.33/5,294.04 = 3,092.50/x
  3. Step 3: Cross multiply
    3,532.33x = 5,294.04 × 3,092.50
  4. Step 4: Simplify right side
    3,532.33x = 16,371,818.70
  5. Step 5: Solve for x
    x = 16,371,818.70/3,532.33
  6. Step 6: Final answer
    x = 4,634.85

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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.