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Finding the Fourth Proportional to 2,723.47, 4,085.09 and 775.67

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Solution

The fourth proportional to 2,723.47, 4,085.09 and 775.67 is: 1,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.47 : 4,085.09 = 775.67 : x
  2. Step 2: Convert to fraction form
    2,723.47/4,085.09 = 775.67/x
  3. Step 3: Cross multiply
    2,723.47x = 4,085.09 × 775.67
  4. Step 4: Simplify right side
    2,723.47x = 3,168,663.27
  5. Step 5: Solve for x
    x = 3,168,663.27/2,723.47
  6. Step 6: Final answer
    x = 1,163.47

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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.