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Finding the Fourth Proportional to 6,821.46, 10,231.04 and 1,891.60

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Solution

The fourth proportional to 6,821.46, 10,231.04 and 1,891.60 is: 2,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.46 : 10,231.04 = 1,891.60 : x
  2. Step 2: Convert to fraction form
    6,821.46/10,231.04 = 1,891.60/x
  3. Step 3: Cross multiply
    6,821.46x = 10,231.04 × 1,891.60
  4. Step 4: Simplify right side
    6,821.46x = 19,353,035.26
  5. Step 5: Solve for x
    x = 19,353,035.26/6,821.46
  6. Step 6: Final answer
    x = 2,837.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.