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Finding the Fourth Proportional to 8,222.64, 12,334.16 and 3,224.80

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Solution

The fourth proportional to 8,222.64, 12,334.16 and 3,224.80 is: 4,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.64 : 12,334.16 = 3,224.80 : x
  2. Step 2: Convert to fraction form
    8,222.64/12,334.16 = 3,224.80/x
  3. Step 3: Cross multiply
    8,222.64x = 12,334.16 × 3,224.80
  4. Step 4: Simplify right side
    8,222.64x = 39,775,199.17
  5. Step 5: Solve for x
    x = 39,775,199.17/8,222.64
  6. Step 6: Final answer
    x = 4,837.28

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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.