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Finding the Fourth Proportional to 3,455.80, 4,769.13 and 1,963.78

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Solution

The fourth proportional to 3,455.80, 4,769.13 and 1,963.78 is: 2,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.80 : 4,769.13 = 1,963.78 : x
  2. Step 2: Convert to fraction form
    3,455.80/4,769.13 = 1,963.78/x
  3. Step 3: Cross multiply
    3,455.80x = 4,769.13 × 1,963.78
  4. Step 4: Simplify right side
    3,455.80x = 9,365,524.39
  5. Step 5: Solve for x
    x = 9,365,524.39/3,455.80
  6. Step 6: Final answer
    x = 2,710.09

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1.5x scale

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.