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Finding the Fourth Proportional to 1,692.76, 2,332.30 and 1,265.60

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Solution

The fourth proportional to 1,692.76, 2,332.30 and 1,265.60 is: 1,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.76 : 2,332.30 = 1,265.60 : x
  2. Step 2: Convert to fraction form
    1,692.76/2,332.30 = 1,265.60/x
  3. Step 3: Cross multiply
    1,692.76x = 2,332.30 × 1,265.60
  4. Step 4: Simplify right side
    1,692.76x = 2,951,758.88
  5. Step 5: Solve for x
    x = 2,951,758.88/1,692.76
  6. Step 6: Final answer
    x = 1,743.76

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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.