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Finding the Fourth Proportional to 2,692.26, 3,716.16 and 1,572.78

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Solution

The fourth proportional to 2,692.26, 3,716.16 and 1,572.78 is: 2,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.26 : 3,716.16 = 1,572.78 : x
  2. Step 2: Convert to fraction form
    2,692.26/3,716.16 = 1,572.78/x
  3. Step 3: Cross multiply
    2,692.26x = 3,716.16 × 1,572.78
  4. Step 4: Simplify right side
    2,692.26x = 5,844,702.12
  5. Step 5: Solve for x
    x = 5,844,702.12/2,692.26
  6. Step 6: Final answer
    x = 2,170.93

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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.