Home / 3,071.24-4,238.34-1,829

Finding the Fourth Proportional to 3,071.24, 4,238.34 and 1,829

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Solution

The fourth proportional to 3,071.24, 4,238.34 and 1,829 is: 2,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.24 : 4,238.34 = 1,829 : x
  2. Step 2: Convert to fraction form
    3,071.24/4,238.34 = 1,829/x
  3. Step 3: Cross multiply
    3,071.24x = 4,238.34 × 1,829
  4. Step 4: Simplify right side
    3,071.24x = 7,751,923.86
  5. Step 5: Solve for x
    x = 7,751,923.86/3,071.24
  6. Step 6: Final answer
    x = 2,524.04

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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.