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Finding the Fourth Proportional to 11,882.37, 16,399.41 and 6,845.64

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Solution

The fourth proportional to 11,882.37, 16,399.41 and 6,845.64 is: 9,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.37 : 16,399.41 = 6,845.64 : x
  2. Step 2: Convert to fraction form
    11,882.37/16,399.41 = 6,845.64/x
  3. Step 3: Cross multiply
    11,882.37x = 16,399.41 × 6,845.64
  4. Step 4: Simplify right side
    11,882.37x = 112,264,457.07
  5. Step 5: Solve for x
    x = 112,264,457.07/11,882.37
  6. Step 6: Final answer
    x = 9,447.99

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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.