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Finding the Fourth Proportional to 1,692.63, 2,538.95 and 1,282.55

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Solution

The fourth proportional to 1,692.63, 2,538.95 and 1,282.55 is: 1,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.63 : 2,538.95 = 1,282.55 : x
  2. Step 2: Convert to fraction form
    1,692.63/2,538.95 = 1,282.55/x
  3. Step 3: Cross multiply
    1,692.63x = 2,538.95 × 1,282.55
  4. Step 4: Simplify right side
    1,692.63x = 3,256,311.22
  5. Step 5: Solve for x
    x = 3,256,311.22/1,692.63
  6. Step 6: Final answer
    x = 1,923.82

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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.