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Finding the Fourth Proportional to 2,880.82, 4,321.92 and 933.03

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Solution

The fourth proportional to 2,880.82, 4,321.92 and 933.03 is: 1,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.82 : 4,321.92 = 933.03 : x
  2. Step 2: Convert to fraction form
    2,880.82/4,321.92 = 933.03/x
  3. Step 3: Cross multiply
    2,880.82x = 4,321.92 × 933.03
  4. Step 4: Simplify right side
    2,880.82x = 4,032,481.02
  5. Step 5: Solve for x
    x = 4,032,481.02/2,880.82
  6. Step 6: Final answer
    x = 1,399.77

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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.