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Finding the Fourth Proportional to 1,727.92, 2,592.99 and 1,721.54

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Solution

The fourth proportional to 1,727.92, 2,592.99 and 1,721.54 is: 2,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.92 : 2,592.99 = 1,721.54 : x
  2. Step 2: Convert to fraction form
    1,727.92/2,592.99 = 1,721.54/x
  3. Step 3: Cross multiply
    1,727.92x = 2,592.99 × 1,721.54
  4. Step 4: Simplify right side
    1,727.92x = 4,463,927.40
  5. Step 5: Solve for x
    x = 4,463,927.40/1,727.92
  6. Step 6: Final answer
    x = 2,583.41

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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.