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Finding the Fourth Proportional to 3,470.31, 4,789.03 and 1,898.41

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Solution

The fourth proportional to 3,470.31, 4,789.03 and 1,898.41 is: 2,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.31 : 4,789.03 = 1,898.41 : x
  2. Step 2: Convert to fraction form
    3,470.31/4,789.03 = 1,898.41/x
  3. Step 3: Cross multiply
    3,470.31x = 4,789.03 × 1,898.41
  4. Step 4: Simplify right side
    3,470.31x = 9,091,542.44
  5. Step 5: Solve for x
    x = 9,091,542.44/3,470.31
  6. Step 6: Final answer
    x = 2,619.81

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Why These Related Problems?

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