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Finding the Fourth Proportional to 11,716.47, 16,169 and 6,411.29

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Solution

The fourth proportional to 11,716.47, 16,169 and 6,411.29 is: 8,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.47 : 16,169 = 6,411.29 : x
  2. Step 2: Convert to fraction form
    11,716.47/16,169 = 6,411.29/x
  3. Step 3: Cross multiply
    11,716.47x = 16,169 × 6,411.29
  4. Step 4: Simplify right side
    11,716.47x = 103,664,148.01
  5. Step 5: Solve for x
    x = 103,664,148.01/11,716.47
  6. Step 6: Final answer
    x = 8,847.73

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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.