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Finding the Fourth Proportional to 2,274.94, 3,138.42 and 1,390.42

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Solution

The fourth proportional to 2,274.94, 3,138.42 and 1,390.42 is: 1,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.94 : 3,138.42 = 1,390.42 : x
  2. Step 2: Convert to fraction form
    2,274.94/3,138.42 = 1,390.42/x
  3. Step 3: Cross multiply
    2,274.94x = 3,138.42 × 1,390.42
  4. Step 4: Simplify right side
    2,274.94x = 4,363,721.94
  5. Step 5: Solve for x
    x = 4,363,721.94/2,274.94
  6. Step 6: Final answer
    x = 1,918.17

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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.