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Finding the Fourth Proportional to 17,215, 23,756.70 and 9,763

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Solution

The fourth proportional to 17,215, 23,756.70 and 9,763 is: 13,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,215 : 23,756.70 = 9,763 : x
  2. Step 2: Convert to fraction form
    17,215/23,756.70 = 9,763/x
  3. Step 3: Cross multiply
    17,215x = 23,756.70 × 9,763
  4. Step 4: Simplify right side
    17,215x = 231,936,662.10
  5. Step 5: Solve for x
    x = 231,936,662.10/17,215
  6. Step 6: Final answer
    x = 13,472.94

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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.