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Finding the Fourth Proportional to 2,933.20, 4,399.02 and 985

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Solution

The fourth proportional to 2,933.20, 4,399.02 and 985 is: 1,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.20 : 4,399.02 = 985 : x
  2. Step 2: Convert to fraction form
    2,933.20/4,399.02 = 985/x
  3. Step 3: Cross multiply
    2,933.20x = 4,399.02 × 985
  4. Step 4: Simplify right side
    2,933.20x = 4,333,034.70
  5. Step 5: Solve for x
    x = 4,333,034.70/2,933.20
  6. Step 6: Final answer
    x = 1,477.24

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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.