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Finding the Fourth Proportional to 7,692.79, 11,542.43 and 4,578.79

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Solution

The fourth proportional to 7,692.79, 11,542.43 and 4,578.79 is: 6,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.79 : 11,542.43 = 4,578.79 : x
  2. Step 2: Convert to fraction form
    7,692.79/11,542.43 = 4,578.79/x
  3. Step 3: Cross multiply
    7,692.79x = 11,542.43 × 4,578.79
  4. Step 4: Simplify right side
    7,692.79x = 52,850,340.17
  5. Step 5: Solve for x
    x = 52,850,340.17/7,692.79
  6. Step 6: Final answer
    x = 6,870.11

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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.