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Finding the Fourth Proportional to 2,318.27, 3,477.69 and 857.43

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Solution

The fourth proportional to 2,318.27, 3,477.69 and 857.43 is: 1,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.27 : 3,477.69 = 857.43 : x
  2. Step 2: Convert to fraction form
    2,318.27/3,477.69 = 857.43/x
  3. Step 3: Cross multiply
    2,318.27x = 3,477.69 × 857.43
  4. Step 4: Simplify right side
    2,318.27x = 2,981,875.74
  5. Step 5: Solve for x
    x = 2,981,875.74/2,318.27
  6. Step 6: Final answer
    x = 1,286.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.