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Finding the Fourth Proportional to 1,727.91, 2,585.67 and 993.89

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Solution

The fourth proportional to 1,727.91, 2,585.67 and 993.89 is: 1,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.91 : 2,585.67 = 993.89 : x
  2. Step 2: Convert to fraction form
    1,727.91/2,585.67 = 993.89/x
  3. Step 3: Cross multiply
    1,727.91x = 2,585.67 × 993.89
  4. Step 4: Simplify right side
    1,727.91x = 2,569,858.63
  5. Step 5: Solve for x
    x = 2,569,858.63/1,727.91
  6. Step 6: Final answer
    x = 1,487.26

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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.