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Finding the Fourth Proportional to 1,612.95, 2,224.97 and 949.73

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Solution

The fourth proportional to 1,612.95, 2,224.97 and 949.73 is: 1,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.95 : 2,224.97 = 949.73 : x
  2. Step 2: Convert to fraction form
    1,612.95/2,224.97 = 949.73/x
  3. Step 3: Cross multiply
    1,612.95x = 2,224.97 × 949.73
  4. Step 4: Simplify right side
    1,612.95x = 2,113,108.45
  5. Step 5: Solve for x
    x = 2,113,108.45/1,612.95
  6. Step 6: Final answer
    x = 1,310.09

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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.