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Finding the Fourth Proportional to 1,960.22, 2,938.27 and 919.34

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Solution

The fourth proportional to 1,960.22, 2,938.27 and 919.34 is: 1,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.22 : 2,938.27 = 919.34 : x
  2. Step 2: Convert to fraction form
    1,960.22/2,938.27 = 919.34/x
  3. Step 3: Cross multiply
    1,960.22x = 2,938.27 × 919.34
  4. Step 4: Simplify right side
    1,960.22x = 2,701,274.19
  5. Step 5: Solve for x
    x = 2,701,274.19/1,960.22
  6. Step 6: Final answer
    x = 1,378.05

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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.