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Finding the Fourth Proportional to 3,049.75, 4,541.27 and 3,012.80

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Solution

The fourth proportional to 3,049.75, 4,541.27 and 3,012.80 is: 4,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.75 : 4,541.27 = 3,012.80 : x
  2. Step 2: Convert to fraction form
    3,049.75/4,541.27 = 3,012.80/x
  3. Step 3: Cross multiply
    3,049.75x = 4,541.27 × 3,012.80
  4. Step 4: Simplify right side
    3,049.75x = 13,681,900.49
  5. Step 5: Solve for x
    x = 13,681,900.49/3,049.75
  6. Step 6: Final answer
    x = 4,486.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.