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Finding the Fourth Proportional to 7,001.90, 9,662.62 and 3,858.09

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Solution

The fourth proportional to 7,001.90, 9,662.62 and 3,858.09 is: 5,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.90 : 9,662.62 = 3,858.09 : x
  2. Step 2: Convert to fraction form
    7,001.90/9,662.62 = 3,858.09/x
  3. Step 3: Cross multiply
    7,001.90x = 9,662.62 × 3,858.09
  4. Step 4: Simplify right side
    7,001.90x = 37,279,257.60
  5. Step 5: Solve for x
    x = 37,279,257.60/7,001.90
  6. Step 6: Final answer
    x = 5,324.16

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1.5x scale

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.