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Finding the Fourth Proportional to 19,812, 27,339.76 and 11,858.64

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Solution

The fourth proportional to 19,812, 27,339.76 and 11,858.64 is: 16,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 27,339.76 = 11,858.64 : x
  2. Step 2: Convert to fraction form
    19,812/27,339.76 = 11,858.64/x
  3. Step 3: Cross multiply
    19,812x = 27,339.76 × 11,858.64
  4. Step 4: Simplify right side
    19,812x = 324,212,371.53
  5. Step 5: Solve for x
    x = 324,212,371.53/19,812
  6. Step 6: Final answer
    x = 16,364.44

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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.