Home / 2,115.24-3,172.98-728.64

Finding the Fourth Proportional to 2,115.24, 3,172.98 and 728.64

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Solution

The fourth proportional to 2,115.24, 3,172.98 and 728.64 is: 1,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.24 : 3,172.98 = 728.64 : x
  2. Step 2: Convert to fraction form
    2,115.24/3,172.98 = 728.64/x
  3. Step 3: Cross multiply
    2,115.24x = 3,172.98 × 728.64
  4. Step 4: Simplify right side
    2,115.24x = 2,311,960.15
  5. Step 5: Solve for x
    x = 2,311,960.15/2,115.24
  6. Step 6: Final answer
    x = 1,093.00

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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.