Home / 2,311.24-3,464.16-849.28

Finding the Fourth Proportional to 2,311.24, 3,464.16 and 849.28

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Solution

The fourth proportional to 2,311.24, 3,464.16 and 849.28 is: 1,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.24 : 3,464.16 = 849.28 : x
  2. Step 2: Convert to fraction form
    2,311.24/3,464.16 = 849.28/x
  3. Step 3: Cross multiply
    2,311.24x = 3,464.16 × 849.28
  4. Step 4: Simplify right side
    2,311.24x = 2,942,041.80
  5. Step 5: Solve for x
    x = 2,942,041.80/2,311.24
  6. Step 6: Final answer
    x = 1,272.93

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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.