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Finding the Fourth Proportional to 2,489.41, 3,735.08 and 845.97

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Solution

The fourth proportional to 2,489.41, 3,735.08 and 845.97 is: 1,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.41 : 3,735.08 = 845.97 : x
  2. Step 2: Convert to fraction form
    2,489.41/3,735.08 = 845.97/x
  3. Step 3: Cross multiply
    2,489.41x = 3,735.08 × 845.97
  4. Step 4: Simplify right side
    2,489.41x = 3,159,765.63
  5. Step 5: Solve for x
    x = 3,159,765.63/2,489.41
  6. Step 6: Final answer
    x = 1,269.28

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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.