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Finding the Fourth Proportional to 11,999.99, 16,559.80 and 6,965.06

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Solution

The fourth proportional to 11,999.99, 16,559.80 and 6,965.06 is: 9,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.99 : 16,559.80 = 6,965.06 : x
  2. Step 2: Convert to fraction form
    11,999.99/16,559.80 = 6,965.06/x
  3. Step 3: Cross multiply
    11,999.99x = 16,559.80 × 6,965.06
  4. Step 4: Simplify right side
    11,999.99x = 115,339,900.38
  5. Step 5: Solve for x
    x = 115,339,900.38/11,999.99
  6. Step 6: Final answer
    x = 9,611.66

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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.