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Finding the Fourth Proportional to 2,093.76, 3,121.92 and 2,090.88

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Solution

The fourth proportional to 2,093.76, 3,121.92 and 2,090.88 is: 3,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.76 : 3,121.92 = 2,090.88 : x
  2. Step 2: Convert to fraction form
    2,093.76/3,121.92 = 2,090.88/x
  3. Step 3: Cross multiply
    2,093.76x = 3,121.92 × 2,090.88
  4. Step 4: Simplify right side
    2,093.76x = 6,527,560.09
  5. Step 5: Solve for x
    x = 6,527,560.09/2,093.76
  6. Step 6: Final answer
    x = 3,117.63

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