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Finding the Fourth Proportional to 17,388, 23,996.68 and 9,834.40

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Solution

The fourth proportional to 17,388, 23,996.68 and 9,834.40 is: 13,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,388 : 23,996.68 = 9,834.40 : x
  2. Step 2: Convert to fraction form
    17,388/23,996.68 = 9,834.40/x
  3. Step 3: Cross multiply
    17,388x = 23,996.68 × 9,834.40
  4. Step 4: Simplify right side
    17,388x = 235,992,949.79
  5. Step 5: Solve for x
    x = 235,992,949.79/17,388
  6. Step 6: Final answer
    x = 13,572.17

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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.