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Finding the Fourth Proportional to 2,549.20, 3,822.90 and 905.80

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Solution

The fourth proportional to 2,549.20, 3,822.90 and 905.80 is: 1,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.20 : 3,822.90 = 905.80 : x
  2. Step 2: Convert to fraction form
    2,549.20/3,822.90 = 905.80/x
  3. Step 3: Cross multiply
    2,549.20x = 3,822.90 × 905.80
  4. Step 4: Simplify right side
    2,549.20x = 3,462,782.82
  5. Step 5: Solve for x
    x = 3,462,782.82/2,549.20
  6. Step 6: Final answer
    x = 1,358.38

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1.5x scale

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.