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Finding the Fourth Proportional to 7,692.75, 11,514.15 and 3,989.70

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Solution

The fourth proportional to 7,692.75, 11,514.15 and 3,989.70 is: 5,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.75 : 11,514.15 = 3,989.70 : x
  2. Step 2: Convert to fraction form
    7,692.75/11,514.15 = 3,989.70/x
  3. Step 3: Cross multiply
    7,692.75x = 11,514.15 × 3,989.70
  4. Step 4: Simplify right side
    7,692.75x = 45,938,004.26
  5. Step 5: Solve for x
    x = 45,938,004.26/7,692.75
  6. Step 6: Final answer
    x = 5,971.60

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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.