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Finding the Fourth Proportional to 1,946.17, 2,919.83 and 906.78

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Solution

The fourth proportional to 1,946.17, 2,919.83 and 906.78 is: 1,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.17 : 2,919.83 = 906.78 : x
  2. Step 2: Convert to fraction form
    1,946.17/2,919.83 = 906.78/x
  3. Step 3: Cross multiply
    1,946.17x = 2,919.83 × 906.78
  4. Step 4: Simplify right side
    1,946.17x = 2,647,643.45
  5. Step 5: Solve for x
    x = 2,647,643.45/1,946.17
  6. Step 6: Final answer
    x = 1,360.44

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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.