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Finding the Fourth Proportional to 5,629.74, 7,771.20 and 5,039.22

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Solution

The fourth proportional to 5,629.74, 7,771.20 and 5,039.22 is: 6,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.74 : 7,771.20 = 5,039.22 : x
  2. Step 2: Convert to fraction form
    5,629.74/7,771.20 = 5,039.22/x
  3. Step 3: Cross multiply
    5,629.74x = 7,771.20 × 5,039.22
  4. Step 4: Simplify right side
    5,629.74x = 39,160,786.46
  5. Step 5: Solve for x
    x = 39,160,786.46/5,629.74
  6. Step 6: Final answer
    x = 6,956.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.