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Finding the Fourth Proportional to 18,337, 25,305 and 9,953.50

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Solution

The fourth proportional to 18,337, 25,305 and 9,953.50 is: 13,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,337 : 25,305 = 9,953.50 : x
  2. Step 2: Convert to fraction form
    18,337/25,305 = 9,953.50/x
  3. Step 3: Cross multiply
    18,337x = 25,305 × 9,953.50
  4. Step 4: Simplify right side
    18,337x = 251,873,317.50
  5. Step 5: Solve for x
    x = 251,873,317.50/18,337
  6. Step 6: Final answer
    x = 13,735.80

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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.