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Finding the Fourth Proportional to 11,713.94, 16,165 and 6,408.84

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Solution

The fourth proportional to 11,713.94, 16,165 and 6,408.84 is: 8,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.94 : 16,165 = 6,408.84 : x
  2. Step 2: Convert to fraction form
    11,713.94/16,165 = 6,408.84/x
  3. Step 3: Cross multiply
    11,713.94x = 16,165 × 6,408.84
  4. Step 4: Simplify right side
    11,713.94x = 103,598,898.60
  5. Step 5: Solve for x
    x = 103,598,898.60/11,713.94
  6. Step 6: Final answer
    x = 8,844.07

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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.