Home / 2,782.37-4,172.70-933.08

Finding the Fourth Proportional to 2,782.37, 4,172.70 and 933.08

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Solution

The fourth proportional to 2,782.37, 4,172.70 and 933.08 is: 1,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.37 : 4,172.70 = 933.08 : x
  2. Step 2: Convert to fraction form
    2,782.37/4,172.70 = 933.08/x
  3. Step 3: Cross multiply
    2,782.37x = 4,172.70 × 933.08
  4. Step 4: Simplify right side
    2,782.37x = 3,893,442.05
  5. Step 5: Solve for x
    x = 3,893,442.05/2,782.37
  6. Step 6: Final answer
    x = 1,399.33

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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.