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Finding the Fourth Proportional to 1,278.18, 1,919.09 and 838.05

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Solution

The fourth proportional to 1,278.18, 1,919.09 and 838.05 is: 1,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.18 : 1,919.09 = 838.05 : x
  2. Step 2: Convert to fraction form
    1,278.18/1,919.09 = 838.05/x
  3. Step 3: Cross multiply
    1,278.18x = 1,919.09 × 838.05
  4. Step 4: Simplify right side
    1,278.18x = 1,608,288.27
  5. Step 5: Solve for x
    x = 1,608,288.27/1,278.18
  6. Step 6: Final answer
    x = 1,258.26

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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.