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Finding the Fourth Proportional to 1,928.86, 2,662.06 and 1,182.92

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Solution

The fourth proportional to 1,928.86, 2,662.06 and 1,182.92 is: 1,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.86 : 2,662.06 = 1,182.92 : x
  2. Step 2: Convert to fraction form
    1,928.86/2,662.06 = 1,182.92/x
  3. Step 3: Cross multiply
    1,928.86x = 2,662.06 × 1,182.92
  4. Step 4: Simplify right side
    1,928.86x = 3,149,004.02
  5. Step 5: Solve for x
    x = 3,149,004.02/1,928.86
  6. Step 6: Final answer
    x = 1,632.57

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