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Finding the Fourth Proportional to 3,468.32, 5,201.94 and 1,128.39

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Solution

The fourth proportional to 3,468.32, 5,201.94 and 1,128.39 is: 1,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.32 : 5,201.94 = 1,128.39 : x
  2. Step 2: Convert to fraction form
    3,468.32/5,201.94 = 1,128.39/x
  3. Step 3: Cross multiply
    3,468.32x = 5,201.94 × 1,128.39
  4. Step 4: Simplify right side
    3,468.32x = 5,869,817.08
  5. Step 5: Solve for x
    x = 5,869,817.08/3,468.32
  6. Step 6: Final answer
    x = 1,692.41

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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.