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Finding the Fourth Proportional to 4,819, 7,228.86 and 2,738.20

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Solution

The fourth proportional to 4,819, 7,228.86 and 2,738.20 is: 4,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819 : 7,228.86 = 2,738.20 : x
  2. Step 2: Convert to fraction form
    4,819/7,228.86 = 2,738.20/x
  3. Step 3: Cross multiply
    4,819x = 7,228.86 × 2,738.20
  4. Step 4: Simplify right side
    4,819x = 19,794,064.45
  5. Step 5: Solve for x
    x = 19,794,064.45/4,819
  6. Step 6: Final answer
    x = 4,107.50

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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.