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Finding the Fourth Proportional to 7,176.44, 10,762.74 and 1,982.60

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Solution

The fourth proportional to 7,176.44, 10,762.74 and 1,982.60 is: 2,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.44 : 10,762.74 = 1,982.60 : x
  2. Step 2: Convert to fraction form
    7,176.44/10,762.74 = 1,982.60/x
  3. Step 3: Cross multiply
    7,176.44x = 10,762.74 × 1,982.60
  4. Step 4: Simplify right side
    7,176.44x = 21,338,208.32
  5. Step 5: Solve for x
    x = 21,338,208.32/7,176.44
  6. Step 6: Final answer
    x = 2,973.37

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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.