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Finding the Fourth Proportional to 2,350.30, 3,523.38 and 890.48

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Solution

The fourth proportional to 2,350.30, 3,523.38 and 890.48 is: 1,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.30 : 3,523.38 = 890.48 : x
  2. Step 2: Convert to fraction form
    2,350.30/3,523.38 = 890.48/x
  3. Step 3: Cross multiply
    2,350.30x = 3,523.38 × 890.48
  4. Step 4: Simplify right side
    2,350.30x = 3,137,499.42
  5. Step 5: Solve for x
    x = 3,137,499.42/2,350.30
  6. Step 6: Final answer
    x = 1,334.94

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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.