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Finding the Fourth Proportional to 11,912.64, 16,446.93 and 7,671.09

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Solution

The fourth proportional to 11,912.64, 16,446.93 and 7,671.09 is: 10,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.64 : 16,446.93 = 7,671.09 : x
  2. Step 2: Convert to fraction form
    11,912.64/16,446.93 = 7,671.09/x
  3. Step 3: Cross multiply
    11,912.64x = 16,446.93 × 7,671.09
  4. Step 4: Simplify right side
    11,912.64x = 126,165,880.25
  5. Step 5: Solve for x
    x = 126,165,880.25/11,912.64
  6. Step 6: Final answer
    x = 10,590.93

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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.