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Finding the Fourth Proportional to 4,770.78, 7,149.69 and 2,463.90

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Solution

The fourth proportional to 4,770.78, 7,149.69 and 2,463.90 is: 3,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.78 : 7,149.69 = 2,463.90 : x
  2. Step 2: Convert to fraction form
    4,770.78/7,149.69 = 2,463.90/x
  3. Step 3: Cross multiply
    4,770.78x = 7,149.69 × 2,463.90
  4. Step 4: Simplify right side
    4,770.78x = 17,616,121.19
  5. Step 5: Solve for x
    x = 17,616,121.19/4,770.78
  6. Step 6: Final answer
    x = 3,692.50

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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.