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Finding the Fourth Proportional to 2,805.94, 3,871.97 and 1,627.09

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Solution

The fourth proportional to 2,805.94, 3,871.97 and 1,627.09 is: 2,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.94 : 3,871.97 = 1,627.09 : x
  2. Step 2: Convert to fraction form
    2,805.94/3,871.97 = 1,627.09/x
  3. Step 3: Cross multiply
    2,805.94x = 3,871.97 × 1,627.09
  4. Step 4: Simplify right side
    2,805.94x = 6,300,038.06
  5. Step 5: Solve for x
    x = 6,300,038.06/2,805.94
  6. Step 6: Final answer
    x = 2,245.25

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1.5x scale

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.