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Finding the Fourth Proportional to 1,317.28, 1,978.64 and 1,273.56

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Solution

The fourth proportional to 1,317.28, 1,978.64 and 1,273.56 is: 1,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.28 : 1,978.64 = 1,273.56 : x
  2. Step 2: Convert to fraction form
    1,317.28/1,978.64 = 1,273.56/x
  3. Step 3: Cross multiply
    1,317.28x = 1,978.64 × 1,273.56
  4. Step 4: Simplify right side
    1,317.28x = 2,519,916.76
  5. Step 5: Solve for x
    x = 2,519,916.76/1,317.28
  6. Step 6: Final answer
    x = 1,912.97

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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.