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Finding the Fourth Proportional to 8,220.78, 12,334.28 and 4,936.16

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Solution

The fourth proportional to 8,220.78, 12,334.28 and 4,936.16 is: 7,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.78 : 12,334.28 = 4,936.16 : x
  2. Step 2: Convert to fraction form
    8,220.78/12,334.28 = 4,936.16/x
  3. Step 3: Cross multiply
    8,220.78x = 12,334.28 × 4,936.16
  4. Step 4: Simplify right side
    8,220.78x = 60,883,893.21
  5. Step 5: Solve for x
    x = 60,883,893.21/8,220.78
  6. Step 6: Final answer
    x = 7,406.10

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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.