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Finding the Fourth Proportional to 3,290.75, 4,935.82 and 1,648.41

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Solution

The fourth proportional to 3,290.75, 4,935.82 and 1,648.41 is: 2,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.75 : 4,935.82 = 1,648.41 : x
  2. Step 2: Convert to fraction form
    3,290.75/4,935.82 = 1,648.41/x
  3. Step 3: Cross multiply
    3,290.75x = 4,935.82 × 1,648.41
  4. Step 4: Simplify right side
    3,290.75x = 8,136,255.05
  5. Step 5: Solve for x
    x = 8,136,255.05/3,290.75
  6. Step 6: Final answer
    x = 2,472.46

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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.