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Finding the Fourth Proportional to 3,422.98, 5,136.90 and 3,092.50

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Solution

The fourth proportional to 3,422.98, 5,136.90 and 3,092.50 is: 4,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.98 : 5,136.90 = 3,092.50 : x
  2. Step 2: Convert to fraction form
    3,422.98/5,136.90 = 3,092.50/x
  3. Step 3: Cross multiply
    3,422.98x = 5,136.90 × 3,092.50
  4. Step 4: Simplify right side
    3,422.98x = 15,885,822.10
  5. Step 5: Solve for x
    x = 15,885,822.10/3,422.98
  6. Step 6: Final answer
    x = 4,640.94

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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.