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Finding the Fourth Proportional to 1,805.69, 2,489.74 and 1,469.95

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Solution

The fourth proportional to 1,805.69, 2,489.74 and 1,469.95 is: 2,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.69 : 2,489.74 = 1,469.95 : x
  2. Step 2: Convert to fraction form
    1,805.69/2,489.74 = 1,469.95/x
  3. Step 3: Cross multiply
    1,805.69x = 2,489.74 × 1,469.95
  4. Step 4: Simplify right side
    1,805.69x = 3,659,783.41
  5. Step 5: Solve for x
    x = 3,659,783.41/1,805.69
  6. Step 6: Final answer
    x = 2,026.80

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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.