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Finding the Fourth Proportional to 12,782.37, 17,609.49 and 12,191.88

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Solution

The fourth proportional to 12,782.37, 17,609.49 and 12,191.88 is: 16,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.37 : 17,609.49 = 12,191.88 : x
  2. Step 2: Convert to fraction form
    12,782.37/17,609.49 = 12,191.88/x
  3. Step 3: Cross multiply
    12,782.37x = 17,609.49 × 12,191.88
  4. Step 4: Simplify right side
    12,782.37x = 214,692,788.94
  5. Step 5: Solve for x
    x = 214,692,788.94/12,782.37
  6. Step 6: Final answer
    x = 16,796.01

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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.