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Finding the Fourth Proportional to 2,450.34, 3,675.48 and 806.86

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Solution

The fourth proportional to 2,450.34, 3,675.48 and 806.86 is: 1,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.34 : 3,675.48 = 806.86 : x
  2. Step 2: Convert to fraction form
    2,450.34/3,675.48 = 806.86/x
  3. Step 3: Cross multiply
    2,450.34x = 3,675.48 × 806.86
  4. Step 4: Simplify right side
    2,450.34x = 2,965,597.79
  5. Step 5: Solve for x
    x = 2,965,597.79/2,450.34
  6. Step 6: Final answer
    x = 1,210.28

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1.5x scale

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.