Home / 7,833-11,748.24-2,285.04

Finding the Fourth Proportional to 7,833, 11,748.24 and 2,285.04

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Solution

The fourth proportional to 7,833, 11,748.24 and 2,285.04 is: 3,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 11,748.24 = 2,285.04 : x
  2. Step 2: Convert to fraction form
    7,833/11,748.24 = 2,285.04/x
  3. Step 3: Cross multiply
    7,833x = 11,748.24 × 2,285.04
  4. Step 4: Simplify right side
    7,833x = 26,845,198.33
  5. Step 5: Solve for x
    x = 26,845,198.33/7,833
  6. Step 6: Final answer
    x = 3,427.19

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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.