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Finding the Fourth Proportional to 2,274.81, 3,405.20 and 1,942.71

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Solution

The fourth proportional to 2,274.81, 3,405.20 and 1,942.71 is: 2,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.81 : 3,405.20 = 1,942.71 : x
  2. Step 2: Convert to fraction form
    2,274.81/3,405.20 = 1,942.71/x
  3. Step 3: Cross multiply
    2,274.81x = 3,405.20 × 1,942.71
  4. Step 4: Simplify right side
    2,274.81x = 6,615,316.09
  5. Step 5: Solve for x
    x = 6,615,316.09/2,274.81
  6. Step 6: Final answer
    x = 2,908.07

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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.