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Finding the Fourth Proportional to 1,728, 2,589.66 and 946.83

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Solution

The fourth proportional to 1,728, 2,589.66 and 946.83 is: 1,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,589.66 = 946.83 : x
  2. Step 2: Convert to fraction form
    1,728/2,589.66 = 946.83/x
  3. Step 3: Cross multiply
    1,728x = 2,589.66 × 946.83
  4. Step 4: Simplify right side
    1,728x = 2,451,967.78
  5. Step 5: Solve for x
    x = 2,451,967.78/1,728
  6. Step 6: Final answer
    x = 1,418.96

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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.