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Finding the Fourth Proportional to 12,129.88, 18,202.12 and 12,031.06

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Solution

The fourth proportional to 12,129.88, 18,202.12 and 12,031.06 is: 18,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.88 : 18,202.12 = 12,031.06 : x
  2. Step 2: Convert to fraction form
    12,129.88/18,202.12 = 12,031.06/x
  3. Step 3: Cross multiply
    12,129.88x = 18,202.12 × 12,031.06
  4. Step 4: Simplify right side
    12,129.88x = 218,990,797.85
  5. Step 5: Solve for x
    x = 218,990,797.85/12,129.88
  6. Step 6: Final answer
    x = 18,053.83

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1.5x scale

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.