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Finding the Fourth Proportional to 11,713, 16,164.42 and 6,745

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Solution

The fourth proportional to 11,713, 16,164.42 and 6,745 is: 9,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713 : 16,164.42 = 6,745 : x
  2. Step 2: Convert to fraction form
    11,713/16,164.42 = 6,745/x
  3. Step 3: Cross multiply
    11,713x = 16,164.42 × 6,745
  4. Step 4: Simplify right side
    11,713x = 109,029,012.90
  5. Step 5: Solve for x
    x = 109,029,012.90/11,713
  6. Step 6: Final answer
    x = 9,308.38

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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.