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Finding the Fourth Proportional to 4,819.76, 7,230.12 and 2,223.44

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Solution

The fourth proportional to 4,819.76, 7,230.12 and 2,223.44 is: 3,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.76 : 7,230.12 = 2,223.44 : x
  2. Step 2: Convert to fraction form
    4,819.76/7,230.12 = 2,223.44/x
  3. Step 3: Cross multiply
    4,819.76x = 7,230.12 × 2,223.44
  4. Step 4: Simplify right side
    4,819.76x = 16,075,738.01
  5. Step 5: Solve for x
    x = 16,075,738.01/4,819.76
  6. Step 6: Final answer
    x = 3,335.38

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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.