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Finding the Fourth Proportional to 11,659.80, 16,091.02 and 6,354.91

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Solution

The fourth proportional to 11,659.80, 16,091.02 and 6,354.91 is: 8,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.80 : 16,091.02 = 6,354.91 : x
  2. Step 2: Convert to fraction form
    11,659.80/16,091.02 = 6,354.91/x
  3. Step 3: Cross multiply
    11,659.80x = 16,091.02 × 6,354.91
  4. Step 4: Simplify right side
    11,659.80x = 102,256,983.91
  5. Step 5: Solve for x
    x = 102,256,983.91/11,659.80
  6. Step 6: Final answer
    x = 8,770.05

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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.