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Finding the Fourth Proportional to 3,047.90, 4,571.82 and 739.40

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Solution

The fourth proportional to 3,047.90, 4,571.82 and 739.40 is: 1,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.90 : 4,571.82 = 739.40 : x
  2. Step 2: Convert to fraction form
    3,047.90/4,571.82 = 739.40/x
  3. Step 3: Cross multiply
    3,047.90x = 4,571.82 × 739.40
  4. Step 4: Simplify right side
    3,047.90x = 3,380,403.71
  5. Step 5: Solve for x
    x = 3,380,403.71/3,047.90
  6. Step 6: Final answer
    x = 1,109.09

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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.