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Finding the Fourth Proportional to 5,047.57, 7,571.39 and 1,760.65

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Solution

The fourth proportional to 5,047.57, 7,571.39 and 1,760.65 is: 2,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.57 : 7,571.39 = 1,760.65 : x
  2. Step 2: Convert to fraction form
    5,047.57/7,571.39 = 1,760.65/x
  3. Step 3: Cross multiply
    5,047.57x = 7,571.39 × 1,760.65
  4. Step 4: Simplify right side
    5,047.57x = 13,330,559.00
  5. Step 5: Solve for x
    x = 13,330,559.00/5,047.57
  6. Step 6: Final answer
    x = 2,640.99

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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.