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Finding the Fourth Proportional to 1,992.82, 2,989.24 and 949.66

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Solution

The fourth proportional to 1,992.82, 2,989.24 and 949.66 is: 1,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.82 : 2,989.24 = 949.66 : x
  2. Step 2: Convert to fraction form
    1,992.82/2,989.24 = 949.66/x
  3. Step 3: Cross multiply
    1,992.82x = 2,989.24 × 949.66
  4. Step 4: Simplify right side
    1,992.82x = 2,838,761.66
  5. Step 5: Solve for x
    x = 2,838,761.66/1,992.82
  6. Step 6: Final answer
    x = 1,424.49

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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.