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Finding the Fourth Proportional to 2,273.63, 3,138.17 and 1,390.17

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Solution

The fourth proportional to 2,273.63, 3,138.17 and 1,390.17 is: 1,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.63 : 3,138.17 = 1,390.17 : x
  2. Step 2: Convert to fraction form
    2,273.63/3,138.17 = 1,390.17/x
  3. Step 3: Cross multiply
    2,273.63x = 3,138.17 × 1,390.17
  4. Step 4: Simplify right side
    2,273.63x = 4,362,594.61
  5. Step 5: Solve for x
    x = 4,362,594.61/2,273.63
  6. Step 6: Final answer
    x = 1,918.78

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1.5x scale

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.