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Finding the Fourth Proportional to 1,661.41, 2,489.95 and 839.24

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Solution

The fourth proportional to 1,661.41, 2,489.95 and 839.24 is: 1,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.41 : 2,489.95 = 839.24 : x
  2. Step 2: Convert to fraction form
    1,661.41/2,489.95 = 839.24/x
  3. Step 3: Cross multiply
    1,661.41x = 2,489.95 × 839.24
  4. Step 4: Simplify right side
    1,661.41x = 2,089,663.57
  5. Step 5: Solve for x
    x = 2,089,663.57/1,661.41
  6. Step 6: Final answer
    x = 1,257.76

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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.