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Finding the Fourth Proportional to 1,692.84, 2,520.39 and 1,668.54

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Solution

The fourth proportional to 1,692.84, 2,520.39 and 1,668.54 is: 2,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.84 : 2,520.39 = 1,668.54 : x
  2. Step 2: Convert to fraction form
    1,692.84/2,520.39 = 1,668.54/x
  3. Step 3: Cross multiply
    1,692.84x = 2,520.39 × 1,668.54
  4. Step 4: Simplify right side
    1,692.84x = 4,205,371.53
  5. Step 5: Solve for x
    x = 4,205,371.53/1,692.84
  6. Step 6: Final answer
    x = 2,484.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.