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Finding the Fourth Proportional to 11,711.30, 16,161.71 and 6,406

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Solution

The fourth proportional to 11,711.30, 16,161.71 and 6,406 is: 8,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.30 : 16,161.71 = 6,406 : x
  2. Step 2: Convert to fraction form
    11,711.30/16,161.71 = 6,406/x
  3. Step 3: Cross multiply
    11,711.30x = 16,161.71 × 6,406
  4. Step 4: Simplify right side
    11,711.30x = 103,531,914.26
  5. Step 5: Solve for x
    x = 103,531,914.26/11,711.30
  6. Step 6: Final answer
    x = 8,840.34

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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.