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Finding the Fourth Proportional to 1,692.68, 2,536.50 and 1,325.84

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Solution

The fourth proportional to 1,692.68, 2,536.50 and 1,325.84 is: 1,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.68 : 2,536.50 = 1,325.84 : x
  2. Step 2: Convert to fraction form
    1,692.68/2,536.50 = 1,325.84/x
  3. Step 3: Cross multiply
    1,692.68x = 2,536.50 × 1,325.84
  4. Step 4: Simplify right side
    1,692.68x = 3,362,993.16
  5. Step 5: Solve for x
    x = 3,362,993.16/1,692.68
  6. Step 6: Final answer
    x = 1,986.79

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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.