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Finding the Fourth Proportional to 2,808.71, 3,873.83 and 1,814.24

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Solution

The fourth proportional to 2,808.71, 3,873.83 and 1,814.24 is: 2,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.71 : 3,873.83 = 1,814.24 : x
  2. Step 2: Convert to fraction form
    2,808.71/3,873.83 = 1,814.24/x
  3. Step 3: Cross multiply
    2,808.71x = 3,873.83 × 1,814.24
  4. Step 4: Simplify right side
    2,808.71x = 7,028,042.51
  5. Step 5: Solve for x
    x = 7,028,042.51/2,808.71
  6. Step 6: Final answer
    x = 2,502.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.