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Finding the Fourth Proportional to 12,166.40, 16,684.90 and 11,661.44

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Solution

The fourth proportional to 12,166.40, 16,684.90 and 11,661.44 is: 15,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.40 : 16,684.90 = 11,661.44 : x
  2. Step 2: Convert to fraction form
    12,166.40/16,684.90 = 11,661.44/x
  3. Step 3: Cross multiply
    12,166.40x = 16,684.90 × 11,661.44
  4. Step 4: Simplify right side
    12,166.40x = 194,569,960.26
  5. Step 5: Solve for x
    x = 194,569,960.26/12,166.40
  6. Step 6: Final answer
    x = 15,992.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.