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Finding the Fourth Proportional to 4,770.78, 7,160.49 and 3,206.94

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Solution

The fourth proportional to 4,770.78, 7,160.49 and 3,206.94 is: 4,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.78 : 7,160.49 = 3,206.94 : x
  2. Step 2: Convert to fraction form
    4,770.78/7,160.49 = 3,206.94/x
  3. Step 3: Cross multiply
    4,770.78x = 7,160.49 × 3,206.94
  4. Step 4: Simplify right side
    4,770.78x = 22,963,261.80
  5. Step 5: Solve for x
    x = 22,963,261.80/4,770.78
  6. Step 6: Final answer
    x = 4,813.31

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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.