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Finding the Fourth Proportional to 1,813.80, 2,709.54 and 1,449.24

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Solution

The fourth proportional to 1,813.80, 2,709.54 and 1,449.24 is: 2,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.80 : 2,709.54 = 1,449.24 : x
  2. Step 2: Convert to fraction form
    1,813.80/2,709.54 = 1,449.24/x
  3. Step 3: Cross multiply
    1,813.80x = 2,709.54 × 1,449.24
  4. Step 4: Simplify right side
    1,813.80x = 3,926,773.75
  5. Step 5: Solve for x
    x = 3,926,773.75/1,813.80
  6. Step 6: Final answer
    x = 2,164.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.