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Finding the Fourth Proportional to 1,940.26, 2,913.90 and 1,211.26

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Solution

The fourth proportional to 1,940.26, 2,913.90 and 1,211.26 is: 1,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.26 : 2,913.90 = 1,211.26 : x
  2. Step 2: Convert to fraction form
    1,940.26/2,913.90 = 1,211.26/x
  3. Step 3: Cross multiply
    1,940.26x = 2,913.90 × 1,211.26
  4. Step 4: Simplify right side
    1,940.26x = 3,529,490.51
  5. Step 5: Solve for x
    x = 3,529,490.51/1,940.26
  6. Step 6: Final answer
    x = 1,819.08

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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.