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Finding the Fourth Proportional to 6,388.30, 9,583.80 and 1,945.60

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Solution

The fourth proportional to 6,388.30, 9,583.80 and 1,945.60 is: 2,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.30 : 9,583.80 = 1,945.60 : x
  2. Step 2: Convert to fraction form
    6,388.30/9,583.80 = 1,945.60/x
  3. Step 3: Cross multiply
    6,388.30x = 9,583.80 × 1,945.60
  4. Step 4: Simplify right side
    6,388.30x = 18,646,241.28
  5. Step 5: Solve for x
    x = 18,646,241.28/6,388.30
  6. Step 6: Final answer
    x = 2,918.81

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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.