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Finding the Fourth Proportional to 7,761.54, 10,711.11 and 4,224.94

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Solution

The fourth proportional to 7,761.54, 10,711.11 and 4,224.94 is: 5,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.54 : 10,711.11 = 4,224.94 : x
  2. Step 2: Convert to fraction form
    7,761.54/10,711.11 = 4,224.94/x
  3. Step 3: Cross multiply
    7,761.54x = 10,711.11 × 4,224.94
  4. Step 4: Simplify right side
    7,761.54x = 45,253,797.08
  5. Step 5: Solve for x
    x = 45,253,797.08/7,761.54
  6. Step 6: Final answer
    x = 5,830.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.