Home / 4,148-5,724.24-2,284.96

Finding the Fourth Proportional to 4,148, 5,724.24 and 2,284.96

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Solution

The fourth proportional to 4,148, 5,724.24 and 2,284.96 is: 3,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148 : 5,724.24 = 2,284.96 : x
  2. Step 2: Convert to fraction form
    4,148/5,724.24 = 2,284.96/x
  3. Step 3: Cross multiply
    4,148x = 5,724.24 × 2,284.96
  4. Step 4: Simplify right side
    4,148x = 13,079,659.43
  5. Step 5: Solve for x
    x = 13,079,659.43/4,148
  6. Step 6: Final answer
    x = 3,153.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.