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Finding the Fourth Proportional to 1,837.99, 2,757.49 and 727.68

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Solution

The fourth proportional to 1,837.99, 2,757.49 and 727.68 is: 1,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.99 : 2,757.49 = 727.68 : x
  2. Step 2: Convert to fraction form
    1,837.99/2,757.49 = 727.68/x
  3. Step 3: Cross multiply
    1,837.99x = 2,757.49 × 727.68
  4. Step 4: Simplify right side
    1,837.99x = 2,006,566.68
  5. Step 5: Solve for x
    x = 2,006,566.68/1,837.99
  6. Step 6: Final answer
    x = 1,091.72

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1.5x scale

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.