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Finding the Fourth Proportional to 2,450.34, 3,675.34 and 784.42

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Solution

The fourth proportional to 2,450.34, 3,675.34 and 784.42 is: 1,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.34 : 3,675.34 = 784.42 : x
  2. Step 2: Convert to fraction form
    2,450.34/3,675.34 = 784.42/x
  3. Step 3: Cross multiply
    2,450.34x = 3,675.34 × 784.42
  4. Step 4: Simplify right side
    2,450.34x = 2,883,010.20
  5. Step 5: Solve for x
    x = 2,883,010.20/2,450.34
  6. Step 6: Final answer
    x = 1,176.58

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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.