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Finding the Fourth Proportional to 3,318.71, 4,976.39 and 1,857.47

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Solution

The fourth proportional to 3,318.71, 4,976.39 and 1,857.47 is: 2,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.71 : 4,976.39 = 1,857.47 : x
  2. Step 2: Convert to fraction form
    3,318.71/4,976.39 = 1,857.47/x
  3. Step 3: Cross multiply
    3,318.71x = 4,976.39 × 1,857.47
  4. Step 4: Simplify right side
    3,318.71x = 9,243,485.85
  5. Step 5: Solve for x
    x = 9,243,485.85/3,318.71
  6. Step 6: Final answer
    x = 2,785.26

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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.