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Finding the Fourth Proportional to 7,766.64, 11,649.15 and 2,219.63

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Solution

The fourth proportional to 7,766.64, 11,649.15 and 2,219.63 is: 3,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.64 : 11,649.15 = 2,219.63 : x
  2. Step 2: Convert to fraction form
    7,766.64/11,649.15 = 2,219.63/x
  3. Step 3: Cross multiply
    7,766.64x = 11,649.15 × 2,219.63
  4. Step 4: Simplify right side
    7,766.64x = 25,856,744.57
  5. Step 5: Solve for x
    x = 25,856,744.57/7,766.64
  6. Step 6: Final answer
    x = 3,329.21

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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.