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Finding the Fourth Proportional to 12,195.16, 18,299.55 and 12,102.21

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Solution

The fourth proportional to 12,195.16, 18,299.55 and 12,102.21 is: 18,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.16 : 18,299.55 = 12,102.21 : x
  2. Step 2: Convert to fraction form
    12,195.16/18,299.55 = 12,102.21/x
  3. Step 3: Cross multiply
    12,195.16x = 18,299.55 × 12,102.21
  4. Step 4: Simplify right side
    12,195.16x = 221,465,042.39
  5. Step 5: Solve for x
    x = 221,465,042.39/12,195.16
  6. Step 6: Final answer
    x = 18,160.08

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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.