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Finding the Fourth Proportional to 17,190, 23,722.56 and 9,738

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Solution

The fourth proportional to 17,190, 23,722.56 and 9,738 is: 13,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,190 : 23,722.56 = 9,738 : x
  2. Step 2: Convert to fraction form
    17,190/23,722.56 = 9,738/x
  3. Step 3: Cross multiply
    17,190x = 23,722.56 × 9,738
  4. Step 4: Simplify right side
    17,190x = 231,010,289.28
  5. Step 5: Solve for x
    x = 231,010,289.28/17,190
  6. Step 6: Final answer
    x = 13,438.64

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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.