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Finding the Fourth Proportional to 1,550.50, 2,133.34 and 1,340

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Solution

The fourth proportional to 1,550.50, 2,133.34 and 1,340 is: 1,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.50 : 2,133.34 = 1,340 : x
  2. Step 2: Convert to fraction form
    1,550.50/2,133.34 = 1,340/x
  3. Step 3: Cross multiply
    1,550.50x = 2,133.34 × 1,340
  4. Step 4: Simplify right side
    1,550.50x = 2,858,675.60
  5. Step 5: Solve for x
    x = 2,858,675.60/1,550.50
  6. Step 6: Final answer
    x = 1,843.71

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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.