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Finding the Fourth Proportional to 3,772.72, 5,658.78 and 1,692.84

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Solution

The fourth proportional to 3,772.72, 5,658.78 and 1,692.84 is: 2,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.72 : 5,658.78 = 1,692.84 : x
  2. Step 2: Convert to fraction form
    3,772.72/5,658.78 = 1,692.84/x
  3. Step 3: Cross multiply
    3,772.72x = 5,658.78 × 1,692.84
  4. Step 4: Simplify right side
    3,772.72x = 9,579,409.14
  5. Step 5: Solve for x
    x = 9,579,409.14/3,772.72
  6. Step 6: Final answer
    x = 2,539.13

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1.5x scale

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.