Home / 2,274.42-3,409.11-1,298.37

Finding the Fourth Proportional to 2,274.42, 3,409.11 and 1,298.37

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Solution

The fourth proportional to 2,274.42, 3,409.11 and 1,298.37 is: 1,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.42 : 3,409.11 = 1,298.37 : x
  2. Step 2: Convert to fraction form
    2,274.42/3,409.11 = 1,298.37/x
  3. Step 3: Cross multiply
    2,274.42x = 3,409.11 × 1,298.37
  4. Step 4: Simplify right side
    2,274.42x = 4,426,286.15
  5. Step 5: Solve for x
    x = 4,426,286.15/2,274.42
  6. Step 6: Final answer
    x = 1,946.12

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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.