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Finding the Fourth Proportional to 1,949.55, 2,920.54 and 1,731.39

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Solution

The fourth proportional to 1,949.55, 2,920.54 and 1,731.39 is: 2,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.55 : 2,920.54 = 1,731.39 : x
  2. Step 2: Convert to fraction form
    1,949.55/2,920.54 = 1,731.39/x
  3. Step 3: Cross multiply
    1,949.55x = 2,920.54 × 1,731.39
  4. Step 4: Simplify right side
    1,949.55x = 5,056,593.75
  5. Step 5: Solve for x
    x = 5,056,593.75/1,949.55
  6. Step 6: Final answer
    x = 2,593.72

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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.