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Finding the Fourth Proportional to 38,464.48, 57,692.40 and 12,167.20

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Solution

The fourth proportional to 38,464.48, 57,692.40 and 12,167.20 is: 18,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.48 : 57,692.40 = 12,167.20 : x
  2. Step 2: Convert to fraction form
    38,464.48/57,692.40 = 12,167.20/x
  3. Step 3: Cross multiply
    38,464.48x = 57,692.40 × 12,167.20
  4. Step 4: Simplify right side
    38,464.48x = 701,954,969.28
  5. Step 5: Solve for x
    x = 701,954,969.28/38,464.48
  6. Step 6: Final answer
    x = 18,249.43

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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.