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Finding the Fourth Proportional to 12,771.88, 17,619.78 and 7,801

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Solution

The fourth proportional to 12,771.88, 17,619.78 and 7,801 is: 10,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.88 : 17,619.78 = 7,801 : x
  2. Step 2: Convert to fraction form
    12,771.88/17,619.78 = 7,801/x
  3. Step 3: Cross multiply
    12,771.88x = 17,619.78 × 7,801
  4. Step 4: Simplify right side
    12,771.88x = 137,451,903.78
  5. Step 5: Solve for x
    x = 137,451,903.78/12,771.88
  6. Step 6: Final answer
    x = 10,762.07

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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.