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Finding the Fourth Proportional to 1,940.75, 2,911.64 and 642.22

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Solution

The fourth proportional to 1,940.75, 2,911.64 and 642.22 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.75 : 2,911.64 = 642.22 : x
  2. Step 2: Convert to fraction form
    1,940.75/2,911.64 = 642.22/x
  3. Step 3: Cross multiply
    1,940.75x = 2,911.64 × 642.22
  4. Step 4: Simplify right side
    1,940.75x = 1,869,913.44
  5. Step 5: Solve for x
    x = 1,869,913.44/1,940.75
  6. Step 6: Final answer
    x = 963.50

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1.5x scale

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.