Home / 3,456-4,769.21-1,963.90

Finding the Fourth Proportional to 3,456, 4,769.21 and 1,963.90

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Solution

The fourth proportional to 3,456, 4,769.21 and 1,963.90 is: 2,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,769.21 = 1,963.90 : x
  2. Step 2: Convert to fraction form
    3,456/4,769.21 = 1,963.90/x
  3. Step 3: Cross multiply
    3,456x = 4,769.21 × 1,963.90
  4. Step 4: Simplify right side
    3,456x = 9,366,251.52
  5. Step 5: Solve for x
    x = 9,366,251.52/3,456
  6. Step 6: Final answer
    x = 2,710.14

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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.