Home / 3,792.56-5,234-2,114.08

Finding the Fourth Proportional to 3,792.56, 5,234 and 2,114.08

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Solution

The fourth proportional to 3,792.56, 5,234 and 2,114.08 is: 2,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.56 : 5,234 = 2,114.08 : x
  2. Step 2: Convert to fraction form
    3,792.56/5,234 = 2,114.08/x
  3. Step 3: Cross multiply
    3,792.56x = 5,234 × 2,114.08
  4. Step 4: Simplify right side
    3,792.56x = 11,065,094.72
  5. Step 5: Solve for x
    x = 11,065,094.72/3,792.56
  6. Step 6: Final answer
    x = 2,917.58

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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.