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Finding the Fourth Proportional to 3,474.54, 4,789.89 and 2,478.09

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Solution

The fourth proportional to 3,474.54, 4,789.89 and 2,478.09 is: 3,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.54 : 4,789.89 = 2,478.09 : x
  2. Step 2: Convert to fraction form
    3,474.54/4,789.89 = 2,478.09/x
  3. Step 3: Cross multiply
    3,474.54x = 4,789.89 × 2,478.09
  4. Step 4: Simplify right side
    3,474.54x = 11,869,778.51
  5. Step 5: Solve for x
    x = 11,869,778.51/3,474.54
  6. Step 6: Final answer
    x = 3,416.22

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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.