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Finding the Fourth Proportional to 1,278.42, 1,917.78 and 949.76

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Solution

The fourth proportional to 1,278.42, 1,917.78 and 949.76 is: 1,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.42 : 1,917.78 = 949.76 : x
  2. Step 2: Convert to fraction form
    1,278.42/1,917.78 = 949.76/x
  3. Step 3: Cross multiply
    1,278.42x = 1,917.78 × 949.76
  4. Step 4: Simplify right side
    1,278.42x = 1,821,424.77
  5. Step 5: Solve for x
    x = 1,821,424.77/1,278.42
  6. Step 6: Final answer
    x = 1,424.75

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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.