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Finding the Fourth Proportional to 13,581, 18,773.16 and 11,329.77

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Solution

The fourth proportional to 13,581, 18,773.16 and 11,329.77 is: 15,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581 : 18,773.16 = 11,329.77 : x
  2. Step 2: Convert to fraction form
    13,581/18,773.16 = 11,329.77/x
  3. Step 3: Cross multiply
    13,581x = 18,773.16 × 11,329.77
  4. Step 4: Simplify right side
    13,581x = 212,695,584.97
  5. Step 5: Solve for x
    x = 212,695,584.97/13,581
  6. Step 6: Final answer
    x = 15,661.26

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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.