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Finding the Fourth Proportional to 23,781, 32,817.78 and 13,845

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Solution

The fourth proportional to 23,781, 32,817.78 and 13,845 is: 19,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781 : 32,817.78 = 13,845 : x
  2. Step 2: Convert to fraction form
    23,781/32,817.78 = 13,845/x
  3. Step 3: Cross multiply
    23,781x = 32,817.78 × 13,845
  4. Step 4: Simplify right side
    23,781x = 454,362,164.10
  5. Step 5: Solve for x
    x = 454,362,164.10/23,781
  6. Step 6: Final answer
    x = 19,106.10

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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.