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Finding the Fourth Proportional to 11,990.87, 17,985.69 and 4,199.07

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Solution

The fourth proportional to 11,990.87, 17,985.69 and 4,199.07 is: 6,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.87 : 17,985.69 = 4,199.07 : x
  2. Step 2: Convert to fraction form
    11,990.87/17,985.69 = 4,199.07/x
  3. Step 3: Cross multiply
    11,990.87x = 17,985.69 × 4,199.07
  4. Step 4: Simplify right side
    11,990.87x = 75,523,171.31
  5. Step 5: Solve for x
    x = 75,523,171.31/11,990.87
  6. Step 6: Final answer
    x = 6,298.39

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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.