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Finding the Fourth Proportional to 11,892.99, 16,408.11 and 7,109.62

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Solution

The fourth proportional to 11,892.99, 16,408.11 and 7,109.62 is: 9,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.99 : 16,408.11 = 7,109.62 : x
  2. Step 2: Convert to fraction form
    11,892.99/16,408.11 = 7,109.62/x
  3. Step 3: Cross multiply
    11,892.99x = 16,408.11 × 7,109.62
  4. Step 4: Simplify right side
    11,892.99x = 116,655,344.98
  5. Step 5: Solve for x
    x = 116,655,344.98/11,892.99
  6. Step 6: Final answer
    x = 9,808.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.