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Finding the Fourth Proportional to 23,810, 32,857.80 and 13,201.25

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Solution

The fourth proportional to 23,810, 32,857.80 and 13,201.25 is: 18,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810 : 32,857.80 = 13,201.25 : x
  2. Step 2: Convert to fraction form
    23,810/32,857.80 = 13,201.25/x
  3. Step 3: Cross multiply
    23,810x = 32,857.80 × 13,201.25
  4. Step 4: Simplify right side
    23,810x = 433,764,032.25
  5. Step 5: Solve for x
    x = 433,764,032.25/23,810
  6. Step 6: Final answer
    x = 18,217.73

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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.