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Finding the Fourth Proportional to 3,630.76, 5,012.94 and 2,287

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Solution

The fourth proportional to 3,630.76, 5,012.94 and 2,287 is: 3,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.76 : 5,012.94 = 2,287 : x
  2. Step 2: Convert to fraction form
    3,630.76/5,012.94 = 2,287/x
  3. Step 3: Cross multiply
    3,630.76x = 5,012.94 × 2,287
  4. Step 4: Simplify right side
    3,630.76x = 11,464,593.78
  5. Step 5: Solve for x
    x = 11,464,593.78/3,630.76
  6. Step 6: Final answer
    x = 3,157.63

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1.5x scale

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.