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Finding the Fourth Proportional to 2,969.38, 4,096.03 and 1,921.44

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Solution

The fourth proportional to 2,969.38, 4,096.03 and 1,921.44 is: 2,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.38 : 4,096.03 = 1,921.44 : x
  2. Step 2: Convert to fraction form
    2,969.38/4,096.03 = 1,921.44/x
  3. Step 3: Cross multiply
    2,969.38x = 4,096.03 × 1,921.44
  4. Step 4: Simplify right side
    2,969.38x = 7,870,275.88
  5. Step 5: Solve for x
    x = 7,870,275.88/2,969.38
  6. Step 6: Final answer
    x = 2,650.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.