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Finding the Fourth Proportional to 3,969.68, 5,478.23 and 2,268.07

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Solution

The fourth proportional to 3,969.68, 5,478.23 and 2,268.07 is: 3,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.68 : 5,478.23 = 2,268.07 : x
  2. Step 2: Convert to fraction form
    3,969.68/5,478.23 = 2,268.07/x
  3. Step 3: Cross multiply
    3,969.68x = 5,478.23 × 2,268.07
  4. Step 4: Simplify right side
    3,969.68x = 12,425,001.09
  5. Step 5: Solve for x
    x = 12,425,001.09/3,969.68
  6. Step 6: Final answer
    x = 3,129.98

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