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Finding the Fourth Proportional to 12,102.09, 18,143.12 and 4,604.09

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Solution

The fourth proportional to 12,102.09, 18,143.12 and 4,604.09 is: 6,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.09 : 18,143.12 = 4,604.09 : x
  2. Step 2: Convert to fraction form
    12,102.09/18,143.12 = 4,604.09/x
  3. Step 3: Cross multiply
    12,102.09x = 18,143.12 × 4,604.09
  4. Step 4: Simplify right side
    12,102.09x = 83,532,443.62
  5. Step 5: Solve for x
    x = 83,532,443.62/12,102.09
  6. Step 6: Final answer
    x = 6,902.32

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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.