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Finding the Fourth Proportional to 7,002, 9,662.76 and 3,858.39

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Solution

The fourth proportional to 7,002, 9,662.76 and 3,858.39 is: 5,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 9,662.76 = 3,858.39 : x
  2. Step 2: Convert to fraction form
    7,002/9,662.76 = 3,858.39/x
  3. Step 3: Cross multiply
    7,002x = 9,662.76 × 3,858.39
  4. Step 4: Simplify right side
    7,002x = 37,282,696.56
  5. Step 5: Solve for x
    x = 37,282,696.56/7,002
  6. Step 6: Final answer
    x = 5,324.58

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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.