Home / 3,456-4,769.30-1,884.20

Finding the Fourth Proportional to 3,456, 4,769.30 and 1,884.20

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Solution

The fourth proportional to 3,456, 4,769.30 and 1,884.20 is: 2,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,769.30 = 1,884.20 : x
  2. Step 2: Convert to fraction form
    3,456/4,769.30 = 1,884.20/x
  3. Step 3: Cross multiply
    3,456x = 4,769.30 × 1,884.20
  4. Step 4: Simplify right side
    3,456x = 8,986,315.06
  5. Step 5: Solve for x
    x = 8,986,315.06/3,456
  6. Step 6: Final answer
    x = 2,600.21

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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.