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Finding the Fourth Proportional to 1,447.95, 1,996.83 and 968.56

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Solution

The fourth proportional to 1,447.95, 1,996.83 and 968.56 is: 1,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.95 : 1,996.83 = 968.56 : x
  2. Step 2: Convert to fraction form
    1,447.95/1,996.83 = 968.56/x
  3. Step 3: Cross multiply
    1,447.95x = 1,996.83 × 968.56
  4. Step 4: Simplify right side
    1,447.95x = 1,934,049.66
  5. Step 5: Solve for x
    x = 1,934,049.66/1,447.95
  6. Step 6: Final answer
    x = 1,335.72

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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.