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Finding the Fourth Proportional to 17,238, 23,788.46 and 9,786

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Solution

The fourth proportional to 17,238, 23,788.46 and 9,786 is: 13,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238 : 23,788.46 = 9,786 : x
  2. Step 2: Convert to fraction form
    17,238/23,788.46 = 9,786/x
  3. Step 3: Cross multiply
    17,238x = 23,788.46 × 9,786
  4. Step 4: Simplify right side
    17,238x = 232,793,869.56
  5. Step 5: Solve for x
    x = 232,793,869.56/17,238
  6. Step 6: Final answer
    x = 13,504.69

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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.