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Finding the Fourth Proportional to 2,692.49, 3,716.31 and 1,645.43

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Solution

The fourth proportional to 2,692.49, 3,716.31 and 1,645.43 is: 2,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.49 : 3,716.31 = 1,645.43 : x
  2. Step 2: Convert to fraction form
    2,692.49/3,716.31 = 1,645.43/x
  3. Step 3: Cross multiply
    2,692.49x = 3,716.31 × 1,645.43
  4. Step 4: Simplify right side
    2,692.49x = 6,114,927.96
  5. Step 5: Solve for x
    x = 6,114,927.96/2,692.49
  6. Step 6: Final answer
    x = 2,271.11

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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.