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Finding the Fourth Proportional to 3,772.76, 5,649.06 and 2,211.48

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Solution

The fourth proportional to 3,772.76, 5,649.06 and 2,211.48 is: 3,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.76 : 5,649.06 = 2,211.48 : x
  2. Step 2: Convert to fraction form
    3,772.76/5,649.06 = 2,211.48/x
  3. Step 3: Cross multiply
    3,772.76x = 5,649.06 × 2,211.48
  4. Step 4: Simplify right side
    3,772.76x = 12,492,783.21
  5. Step 5: Solve for x
    x = 12,492,783.21/3,772.76
  6. Step 6: Final answer
    x = 3,311.31

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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.