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Finding the Fourth Proportional to 23,775, 32,809.50 and 15,391.50

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Solution

The fourth proportional to 23,775, 32,809.50 and 15,391.50 is: 21,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775 : 32,809.50 = 15,391.50 : x
  2. Step 2: Convert to fraction form
    23,775/32,809.50 = 15,391.50/x
  3. Step 3: Cross multiply
    23,775x = 32,809.50 × 15,391.50
  4. Step 4: Simplify right side
    23,775x = 504,987,419.25
  5. Step 5: Solve for x
    x = 504,987,419.25/23,775
  6. Step 6: Final answer
    x = 21,240.27

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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.