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Finding the Fourth Proportional to 1,692.29, 2,335.64 and 1,647.87

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Solution

The fourth proportional to 1,692.29, 2,335.64 and 1,647.87 is: 2,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.29 : 2,335.64 = 1,647.87 : x
  2. Step 2: Convert to fraction form
    1,692.29/2,335.64 = 1,647.87/x
  3. Step 3: Cross multiply
    1,692.29x = 2,335.64 × 1,647.87
  4. Step 4: Simplify right side
    1,692.29x = 3,848,822.85
  5. Step 5: Solve for x
    x = 3,848,822.85/1,692.29
  6. Step 6: Final answer
    x = 2,274.33

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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.