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Finding the Fourth Proportional to 12,722.88, 17,548.08 and 12,164.48

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Solution

The fourth proportional to 12,722.88, 17,548.08 and 12,164.48 is: 16,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.88 : 17,548.08 = 12,164.48 : x
  2. Step 2: Convert to fraction form
    12,722.88/17,548.08 = 12,164.48/x
  3. Step 3: Cross multiply
    12,722.88x = 17,548.08 × 12,164.48
  4. Step 4: Simplify right side
    12,722.88x = 213,463,268.20
  5. Step 5: Solve for x
    x = 213,463,268.20/12,722.88
  6. Step 6: Final answer
    x = 16,777.90

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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.