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Finding the Fourth Proportional to 12,762.78, 19,132.80 and 4,969.80

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Solution

The fourth proportional to 12,762.78, 19,132.80 and 4,969.80 is: 7,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.78 : 19,132.80 = 4,969.80 : x
  2. Step 2: Convert to fraction form
    12,762.78/19,132.80 = 4,969.80/x
  3. Step 3: Cross multiply
    12,762.78x = 19,132.80 × 4,969.80
  4. Step 4: Simplify right side
    12,762.78x = 95,086,189.44
  5. Step 5: Solve for x
    x = 95,086,189.44/12,762.78
  6. Step 6: Final answer
    x = 7,450.27

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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.