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Finding the Fourth Proportional to 11,640, 16,063.05 and 6,334.74

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Solution

The fourth proportional to 11,640, 16,063.05 and 6,334.74 is: 8,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 16,063.05 = 6,334.74 : x
  2. Step 2: Convert to fraction form
    11,640/16,063.05 = 6,334.74/x
  3. Step 3: Cross multiply
    11,640x = 16,063.05 × 6,334.74
  4. Step 4: Simplify right side
    11,640x = 101,755,245.36
  5. Step 5: Solve for x
    x = 101,755,245.36/11,640
  6. Step 6: Final answer
    x = 8,741.86

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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.