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Finding the Fourth Proportional to 1,928.56, 2,881.12 and 1,229.66

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Solution

The fourth proportional to 1,928.56, 2,881.12 and 1,229.66 is: 1,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.56 : 2,881.12 = 1,229.66 : x
  2. Step 2: Convert to fraction form
    1,928.56/2,881.12 = 1,229.66/x
  3. Step 3: Cross multiply
    1,928.56x = 2,881.12 × 1,229.66
  4. Step 4: Simplify right side
    1,928.56x = 3,542,791.87
  5. Step 5: Solve for x
    x = 3,542,791.87/1,928.56
  6. Step 6: Final answer
    x = 1,837.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.