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Finding the Fourth Proportional to 3,766.98, 5,648.42 and 2,991.96

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Solution

The fourth proportional to 3,766.98, 5,648.42 and 2,991.96 is: 4,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.98 : 5,648.42 = 2,991.96 : x
  2. Step 2: Convert to fraction form
    3,766.98/5,648.42 = 2,991.96/x
  3. Step 3: Cross multiply
    3,766.98x = 5,648.42 × 2,991.96
  4. Step 4: Simplify right side
    3,766.98x = 16,899,831.74
  5. Step 5: Solve for x
    x = 16,899,831.74/3,766.98
  6. Step 6: Final answer
    x = 4,486.31

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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.