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Finding the Fourth Proportional to 3,470.85, 4,789.44 and 2,055.09

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Solution

The fourth proportional to 3,470.85, 4,789.44 and 2,055.09 is: 2,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.85 : 4,789.44 = 2,055.09 : x
  2. Step 2: Convert to fraction form
    3,470.85/4,789.44 = 2,055.09/x
  3. Step 3: Cross multiply
    3,470.85x = 4,789.44 × 2,055.09
  4. Step 4: Simplify right side
    3,470.85x = 9,842,730.25
  5. Step 5: Solve for x
    x = 9,842,730.25/3,470.85
  6. Step 6: Final answer
    x = 2,835.83

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1.5x scale

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.