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Finding the Fourth Proportional to 2,200.42, 3,300.63 and 1,334.53

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Solution

The fourth proportional to 2,200.42, 3,300.63 and 1,334.53 is: 2,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.42 : 3,300.63 = 1,334.53 : x
  2. Step 2: Convert to fraction form
    2,200.42/3,300.63 = 1,334.53/x
  3. Step 3: Cross multiply
    2,200.42x = 3,300.63 × 1,334.53
  4. Step 4: Simplify right side
    2,200.42x = 4,404,789.75
  5. Step 5: Solve for x
    x = 4,404,789.75/2,200.42
  6. Step 6: Final answer
    x = 2,001.80

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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.