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Finding the Fourth Proportional to 2,346.78, 3,524.20 and 2,083.83

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Solution

The fourth proportional to 2,346.78, 3,524.20 and 2,083.83 is: 3,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.78 : 3,524.20 = 2,083.83 : x
  2. Step 2: Convert to fraction form
    2,346.78/3,524.20 = 2,083.83/x
  3. Step 3: Cross multiply
    2,346.78x = 3,524.20 × 2,083.83
  4. Step 4: Simplify right side
    2,346.78x = 7,343,805.65
  5. Step 5: Solve for x
    x = 7,343,805.65/2,346.78
  6. Step 6: Final answer
    x = 3,129.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.