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Finding the Fourth Proportional to 12,855.80, 17,744.10 and 8,078.60

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Solution

The fourth proportional to 12,855.80, 17,744.10 and 8,078.60 is: 11,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.80 : 17,744.10 = 8,078.60 : x
  2. Step 2: Convert to fraction form
    12,855.80/17,744.10 = 8,078.60/x
  3. Step 3: Cross multiply
    12,855.80x = 17,744.10 × 8,078.60
  4. Step 4: Simplify right side
    12,855.80x = 143,347,486.26
  5. Step 5: Solve for x
    x = 143,347,486.26/12,855.80
  6. Step 6: Final answer
    x = 11,150.41

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1.5x scale

Why These Related Problems?

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