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Finding the Fourth Proportional to 12,199.80, 18,302.28 and 3,878.80

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Solution

The fourth proportional to 12,199.80, 18,302.28 and 3,878.80 is: 5,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.80 : 18,302.28 = 3,878.80 : x
  2. Step 2: Convert to fraction form
    12,199.80/18,302.28 = 3,878.80/x
  3. Step 3: Cross multiply
    12,199.80x = 18,302.28 × 3,878.80
  4. Step 4: Simplify right side
    12,199.80x = 70,990,883.66
  5. Step 5: Solve for x
    x = 70,990,883.66/12,199.80
  6. Step 6: Final answer
    x = 5,819.02

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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.