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Finding the Fourth Proportional to 3,221.76, 4,811.10 and 2,754.66

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Solution

The fourth proportional to 3,221.76, 4,811.10 and 2,754.66 is: 4,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.76 : 4,811.10 = 2,754.66 : x
  2. Step 2: Convert to fraction form
    3,221.76/4,811.10 = 2,754.66/x
  3. Step 3: Cross multiply
    3,221.76x = 4,811.10 × 2,754.66
  4. Step 4: Simplify right side
    3,221.76x = 13,252,944.73
  5. Step 5: Solve for x
    x = 13,252,944.73/3,221.76
  6. Step 6: Final answer
    x = 4,113.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.