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Finding the Fourth Proportional to 2,880.38, 4,321.41 and 932.54

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Solution

The fourth proportional to 2,880.38, 4,321.41 and 932.54 is: 1,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.38 : 4,321.41 = 932.54 : x
  2. Step 2: Convert to fraction form
    2,880.38/4,321.41 = 932.54/x
  3. Step 3: Cross multiply
    2,880.38x = 4,321.41 × 932.54
  4. Step 4: Simplify right side
    2,880.38x = 4,029,887.68
  5. Step 5: Solve for x
    x = 4,029,887.68/2,880.38
  6. Step 6: Final answer
    x = 1,399.08

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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.