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Finding the Fourth Proportional to 2,928, 4,039.43 and 1,919.42

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Solution

The fourth proportional to 2,928, 4,039.43 and 1,919.42 is: 2,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928 : 4,039.43 = 1,919.42 : x
  2. Step 2: Convert to fraction form
    2,928/4,039.43 = 1,919.42/x
  3. Step 3: Cross multiply
    2,928x = 4,039.43 × 1,919.42
  4. Step 4: Simplify right side
    2,928x = 7,753,332.94
  5. Step 5: Solve for x
    x = 7,753,332.94/2,928
  6. Step 6: Final answer
    x = 2,648.00

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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.