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Finding the Fourth Proportional to 11,790.88, 17,686 and 3,470.68

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Solution

The fourth proportional to 11,790.88, 17,686 and 3,470.68 is: 5,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.88 : 17,686 = 3,470.68 : x
  2. Step 2: Convert to fraction form
    11,790.88/17,686 = 3,470.68/x
  3. Step 3: Cross multiply
    11,790.88x = 17,686 × 3,470.68
  4. Step 4: Simplify right side
    11,790.88x = 61,382,446.48
  5. Step 5: Solve for x
    x = 61,382,446.48/11,790.88
  6. Step 6: Final answer
    x = 5,205.93

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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.