Home / 3,456-4,769.28-2,216.16

Finding the Fourth Proportional to 3,456, 4,769.28 and 2,216.16

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Solution

The fourth proportional to 3,456, 4,769.28 and 2,216.16 is: 3,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,769.28 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    3,456/4,769.28 = 2,216.16/x
  3. Step 3: Cross multiply
    3,456x = 4,769.28 × 2,216.16
  4. Step 4: Simplify right side
    3,456x = 10,569,487.56
  5. Step 5: Solve for x
    x = 10,569,487.56/3,456
  6. Step 6: Final answer
    x = 3,058.30

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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.