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Finding the Fourth Proportional to 11,847.66, 17,734.22 and 8,128.14

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Solution

The fourth proportional to 11,847.66, 17,734.22 and 8,128.14 is: 12,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.66 : 17,734.22 = 8,128.14 : x
  2. Step 2: Convert to fraction form
    11,847.66/17,734.22 = 8,128.14/x
  3. Step 3: Cross multiply
    11,847.66x = 17,734.22 × 8,128.14
  4. Step 4: Simplify right side
    11,847.66x = 144,146,222.95
  5. Step 5: Solve for x
    x = 144,146,222.95/11,847.66
  6. Step 6: Final answer
    x = 12,166.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.