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Finding the Fourth Proportional to 4,819.86, 7,224.90 and 1,900.20

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Solution

The fourth proportional to 4,819.86, 7,224.90 and 1,900.20 is: 2,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.86 : 7,224.90 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    4,819.86/7,224.90 = 1,900.20/x
  3. Step 3: Cross multiply
    4,819.86x = 7,224.90 × 1,900.20
  4. Step 4: Simplify right side
    4,819.86x = 13,728,754.98
  5. Step 5: Solve for x
    x = 13,728,754.98/4,819.86
  6. Step 6: Final answer
    x = 2,848.37

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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.