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Finding the Fourth Proportional to 11,726.41, 17,589.80 and 3,828.89

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Solution

The fourth proportional to 11,726.41, 17,589.80 and 3,828.89 is: 5,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.41 : 17,589.80 = 3,828.89 : x
  2. Step 2: Convert to fraction form
    11,726.41/17,589.80 = 3,828.89/x
  3. Step 3: Cross multiply
    11,726.41x = 17,589.80 × 3,828.89
  4. Step 4: Simplify right side
    11,726.41x = 67,349,409.32
  5. Step 5: Solve for x
    x = 67,349,409.32/11,726.41
  6. Step 6: Final answer
    x = 5,743.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.