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Finding the Fourth Proportional to 2,668.52, 3,999.14 and 1,692.87

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Solution

The fourth proportional to 2,668.52, 3,999.14 and 1,692.87 is: 2,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.52 : 3,999.14 = 1,692.87 : x
  2. Step 2: Convert to fraction form
    2,668.52/3,999.14 = 1,692.87/x
  3. Step 3: Cross multiply
    2,668.52x = 3,999.14 × 1,692.87
  4. Step 4: Simplify right side
    2,668.52x = 6,770,015.67
  5. Step 5: Solve for x
    x = 6,770,015.67/2,668.52
  6. Step 6: Final answer
    x = 2,537.00

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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.