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Finding the Fourth Proportional to 13,116, 19,677.24 and 3,882

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Solution

The fourth proportional to 13,116, 19,677.24 and 3,882 is: 5,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116 : 19,677.24 = 3,882 : x
  2. Step 2: Convert to fraction form
    13,116/19,677.24 = 3,882/x
  3. Step 3: Cross multiply
    13,116x = 19,677.24 × 3,882
  4. Step 4: Simplify right side
    13,116x = 76,387,045.68
  5. Step 5: Solve for x
    x = 76,387,045.68/13,116
  6. Step 6: Final answer
    x = 5,823.96

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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.