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Finding the Fourth Proportional to 2,932.80, 4,399.19 and 986.37

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Solution

The fourth proportional to 2,932.80, 4,399.19 and 986.37 is: 1,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.80 : 4,399.19 = 986.37 : x
  2. Step 2: Convert to fraction form
    2,932.80/4,399.19 = 986.37/x
  3. Step 3: Cross multiply
    2,932.80x = 4,399.19 × 986.37
  4. Step 4: Simplify right side
    2,932.80x = 4,339,215.01
  5. Step 5: Solve for x
    x = 4,339,215.01/2,932.80
  6. Step 6: Final answer
    x = 1,479.55

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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.