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Finding the Fourth Proportional to 2,805.60, 4,200.09 and 2,078.43

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Solution

The fourth proportional to 2,805.60, 4,200.09 and 2,078.43 is: 3,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.60 : 4,200.09 = 2,078.43 : x
  2. Step 2: Convert to fraction form
    2,805.60/4,200.09 = 2,078.43/x
  3. Step 3: Cross multiply
    2,805.60x = 4,200.09 × 2,078.43
  4. Step 4: Simplify right side
    2,805.60x = 8,729,593.06
  5. Step 5: Solve for x
    x = 8,729,593.06/2,805.60
  6. Step 6: Final answer
    x = 3,111.49

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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.