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Finding the Fourth Proportional to 6,820, 10,224.56 and 3,533.60

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Solution

The fourth proportional to 6,820, 10,224.56 and 3,533.60 is: 5,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 10,224.56 = 3,533.60 : x
  2. Step 2: Convert to fraction form
    6,820/10,224.56 = 3,533.60/x
  3. Step 3: Cross multiply
    6,820x = 10,224.56 × 3,533.60
  4. Step 4: Simplify right side
    6,820x = 36,129,505.22
  5. Step 5: Solve for x
    x = 36,129,505.22/6,820
  6. Step 6: Final answer
    x = 5,297.58

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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.