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Finding the Fourth Proportional to 4,809.76, 7,215.12 and 2,213.44

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Solution

The fourth proportional to 4,809.76, 7,215.12 and 2,213.44 is: 3,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.76 : 7,215.12 = 2,213.44 : x
  2. Step 2: Convert to fraction form
    4,809.76/7,215.12 = 2,213.44/x
  3. Step 3: Cross multiply
    4,809.76x = 7,215.12 × 2,213.44
  4. Step 4: Simplify right side
    4,809.76x = 15,970,235.21
  5. Step 5: Solve for x
    x = 15,970,235.21/4,809.76
  6. Step 6: Final answer
    x = 3,320.38

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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.