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Finding the Fourth Proportional to 2,474.20, 3,707.70 and 2,255.50

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Solution

The fourth proportional to 2,474.20, 3,707.70 and 2,255.50 is: 3,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.20 : 3,707.70 = 2,255.50 : x
  2. Step 2: Convert to fraction form
    2,474.20/3,707.70 = 2,255.50/x
  3. Step 3: Cross multiply
    2,474.20x = 3,707.70 × 2,255.50
  4. Step 4: Simplify right side
    2,474.20x = 8,362,717.35
  5. Step 5: Solve for x
    x = 8,362,717.35/2,474.20
  6. Step 6: Final answer
    x = 3,379.97

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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.