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Finding the Fourth Proportional to 11,762.40, 17,629.20 and 5,181.60

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Solution

The fourth proportional to 11,762.40, 17,629.20 and 5,181.60 is: 7,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.40 : 17,629.20 = 5,181.60 : x
  2. Step 2: Convert to fraction form
    11,762.40/17,629.20 = 5,181.60/x
  3. Step 3: Cross multiply
    11,762.40x = 17,629.20 × 5,181.60
  4. Step 4: Simplify right side
    11,762.40x = 91,347,462.72
  5. Step 5: Solve for x
    x = 91,347,462.72/11,762.40
  6. Step 6: Final answer
    x = 7,766.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.