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Finding the Fourth Proportional to 11,992.10, 17,988.18 and 4,199.09

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Solution

The fourth proportional to 11,992.10, 17,988.18 and 4,199.09 is: 6,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.10 : 17,988.18 = 4,199.09 : x
  2. Step 2: Convert to fraction form
    11,992.10/17,988.18 = 4,199.09/x
  3. Step 3: Cross multiply
    11,992.10x = 17,988.18 × 4,199.09
  4. Step 4: Simplify right side
    11,992.10x = 75,533,875.82
  5. Step 5: Solve for x
    x = 75,533,875.82/11,992.10
  6. Step 6: Final answer
    x = 6,298.64

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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.