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Finding the Fourth Proportional to 11,786, 17,679.12 and 3,889.04

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Solution

The fourth proportional to 11,786, 17,679.12 and 3,889.04 is: 5,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786 : 17,679.12 = 3,889.04 : x
  2. Step 2: Convert to fraction form
    11,786/17,679.12 = 3,889.04/x
  3. Step 3: Cross multiply
    11,786x = 17,679.12 × 3,889.04
  4. Step 4: Simplify right side
    11,786x = 68,754,804.84
  5. Step 5: Solve for x
    x = 68,754,804.84/11,786
  6. Step 6: Final answer
    x = 5,833.60

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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.