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Finding the Fourth Proportional to 3,470.78, 4,789.74 and 1,898.97

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Solution

The fourth proportional to 3,470.78, 4,789.74 and 1,898.97 is: 2,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.78 : 4,789.74 = 1,898.97 : x
  2. Step 2: Convert to fraction form
    3,470.78/4,789.74 = 1,898.97/x
  3. Step 3: Cross multiply
    3,470.78x = 4,789.74 × 1,898.97
  4. Step 4: Simplify right side
    3,470.78x = 9,095,563.07
  5. Step 5: Solve for x
    x = 9,095,563.07/3,470.78
  6. Step 6: Final answer
    x = 2,620.61

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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.