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Finding the Fourth Proportional to 3,428.47, 5,143.01 and 963.31

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Solution

The fourth proportional to 3,428.47, 5,143.01 and 963.31 is: 1,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.47 : 5,143.01 = 963.31 : x
  2. Step 2: Convert to fraction form
    3,428.47/5,143.01 = 963.31/x
  3. Step 3: Cross multiply
    3,428.47x = 5,143.01 × 963.31
  4. Step 4: Simplify right side
    3,428.47x = 4,954,308.15
  5. Step 5: Solve for x
    x = 4,954,308.15/3,428.47
  6. Step 6: Final answer
    x = 1,445.05

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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.