Home / 4,741-7,114.22-2,549.80

Finding the Fourth Proportional to 4,741, 7,114.22 and 2,549.80

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Solution

The fourth proportional to 4,741, 7,114.22 and 2,549.80 is: 3,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741 : 7,114.22 = 2,549.80 : x
  2. Step 2: Convert to fraction form
    4,741/7,114.22 = 2,549.80/x
  3. Step 3: Cross multiply
    4,741x = 7,114.22 × 2,549.80
  4. Step 4: Simplify right side
    4,741x = 18,139,838.16
  5. Step 5: Solve for x
    x = 18,139,838.16/4,741
  6. Step 6: Final answer
    x = 3,826.16

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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.