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Finding the Fourth Proportional to 11,687.81, 17,536.86 and 6,139.88

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Solution

The fourth proportional to 11,687.81, 17,536.86 and 6,139.88 is: 9,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.81 : 17,536.86 = 6,139.88 : x
  2. Step 2: Convert to fraction form
    11,687.81/17,536.86 = 6,139.88/x
  3. Step 3: Cross multiply
    11,687.81x = 17,536.86 × 6,139.88
  4. Step 4: Simplify right side
    11,687.81x = 107,674,128.29
  5. Step 5: Solve for x
    x = 107,674,128.29/11,687.81
  6. Step 6: Final answer
    x = 9,212.51

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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.