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Finding the Fourth Proportional to 6,647, 9,175.02 and 3,851.96

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Solution

The fourth proportional to 6,647, 9,175.02 and 3,851.96 is: 5,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647 : 9,175.02 = 3,851.96 : x
  2. Step 2: Convert to fraction form
    6,647/9,175.02 = 3,851.96/x
  3. Step 3: Cross multiply
    6,647x = 9,175.02 × 3,851.96
  4. Step 4: Simplify right side
    6,647x = 35,341,810.04
  5. Step 5: Solve for x
    x = 35,341,810.04/6,647
  6. Step 6: Final answer
    x = 5,316.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.