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Finding the Fourth Proportional to 7,761.84, 11,640.42 and 2,214.78

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Solution

The fourth proportional to 7,761.84, 11,640.42 and 2,214.78 is: 3,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.84 : 11,640.42 = 2,214.78 : x
  2. Step 2: Convert to fraction form
    7,761.84/11,640.42 = 2,214.78/x
  3. Step 3: Cross multiply
    7,761.84x = 11,640.42 × 2,214.78
  4. Step 4: Simplify right side
    7,761.84x = 25,780,969.41
  5. Step 5: Solve for x
    x = 25,780,969.41/7,761.84
  6. Step 6: Final answer
    x = 3,321.50

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1.5x scale

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.