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Finding the Fourth Proportional to 36,692.88, 50,637.96 and 20,778

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Solution

The fourth proportional to 36,692.88, 50,637.96 and 20,778 is: 28,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,692.88 : 50,637.96 = 20,778 : x
  2. Step 2: Convert to fraction form
    36,692.88/50,637.96 = 20,778/x
  3. Step 3: Cross multiply
    36,692.88x = 50,637.96 × 20,778
  4. Step 4: Simplify right side
    36,692.88x = 1,052,155,532.88
  5. Step 5: Solve for x
    x = 1,052,155,532.88/36,692.88
  6. Step 6: Final answer
    x = 28,674.65

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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.