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Finding the Fourth Proportional to 3,012, 4,519.82 and 1,280.63

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Solution

The fourth proportional to 3,012, 4,519.82 and 1,280.63 is: 1,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 4,519.82 = 1,280.63 : x
  2. Step 2: Convert to fraction form
    3,012/4,519.82 = 1,280.63/x
  3. Step 3: Cross multiply
    3,012x = 4,519.82 × 1,280.63
  4. Step 4: Simplify right side
    3,012x = 5,788,197.69
  5. Step 5: Solve for x
    x = 5,788,197.69/3,012
  6. Step 6: Final answer
    x = 1,921.71

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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.