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Finding the Fourth Proportional to 1,940.92, 2,906.52 and 1,289.68

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Solution

The fourth proportional to 1,940.92, 2,906.52 and 1,289.68 is: 1,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.92 : 2,906.52 = 1,289.68 : x
  2. Step 2: Convert to fraction form
    1,940.92/2,906.52 = 1,289.68/x
  3. Step 3: Cross multiply
    1,940.92x = 2,906.52 × 1,289.68
  4. Step 4: Simplify right side
    1,940.92x = 3,748,480.71
  5. Step 5: Solve for x
    x = 3,748,480.71/1,940.92
  6. Step 6: Final answer
    x = 1,931.29

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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.