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Finding the Fourth Proportional to 2,168.50, 2,993.07 and 1,237.54

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Solution

The fourth proportional to 2,168.50, 2,993.07 and 1,237.54 is: 1,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.50 : 2,993.07 = 1,237.54 : x
  2. Step 2: Convert to fraction form
    2,168.50/2,993.07 = 1,237.54/x
  3. Step 3: Cross multiply
    2,168.50x = 2,993.07 × 1,237.54
  4. Step 4: Simplify right side
    2,168.50x = 3,704,043.85
  5. Step 5: Solve for x
    x = 3,704,043.85/2,168.50
  6. Step 6: Final answer
    x = 1,708.11

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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.