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Finding the Fourth Proportional to 2,892.77, 3,993.80 and 2,228.34

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Solution

The fourth proportional to 2,892.77, 3,993.80 and 2,228.34 is: 3,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.77 : 3,993.80 = 2,228.34 : x
  2. Step 2: Convert to fraction form
    2,892.77/3,993.80 = 2,228.34/x
  3. Step 3: Cross multiply
    2,892.77x = 3,993.80 × 2,228.34
  4. Step 4: Simplify right side
    2,892.77x = 8,899,533.15
  5. Step 5: Solve for x
    x = 8,899,533.15/2,892.77
  6. Step 6: Final answer
    x = 3,076.48

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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.