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Finding the Fourth Proportional to 3,800.92, 5,245.32 and 2,228.64

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Solution

The fourth proportional to 3,800.92, 5,245.32 and 2,228.64 is: 3,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.92 : 5,245.32 = 2,228.64 : x
  2. Step 2: Convert to fraction form
    3,800.92/5,245.32 = 2,228.64/x
  3. Step 3: Cross multiply
    3,800.92x = 5,245.32 × 2,228.64
  4. Step 4: Simplify right side
    3,800.92x = 11,689,929.96
  5. Step 5: Solve for x
    x = 11,689,929.96/3,800.92
  6. Step 6: Final answer
    x = 3,075.55

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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.