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Finding the Fourth Proportional to 11,999.80, 16,559.69 and 6,966.96

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Solution

The fourth proportional to 11,999.80, 16,559.69 and 6,966.96 is: 9,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.80 : 16,559.69 = 6,966.96 : x
  2. Step 2: Convert to fraction form
    11,999.80/16,559.69 = 6,966.96/x
  3. Step 3: Cross multiply
    11,999.80x = 16,559.69 × 6,966.96
  4. Step 4: Simplify right side
    11,999.80x = 115,370,733.25
  5. Step 5: Solve for x
    x = 115,370,733.25/11,999.80
  6. Step 6: Final answer
    x = 9,614.39

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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.