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Finding the Fourth Proportional to 19,792, 27,313.50 and 11,409.04

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Solution

The fourth proportional to 19,792, 27,313.50 and 11,409.04 is: 15,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792 : 27,313.50 = 11,409.04 : x
  2. Step 2: Convert to fraction form
    19,792/27,313.50 = 11,409.04/x
  3. Step 3: Cross multiply
    19,792x = 27,313.50 × 11,409.04
  4. Step 4: Simplify right side
    19,792x = 311,620,814.04
  5. Step 5: Solve for x
    x = 311,620,814.04/19,792
  6. Step 6: Final answer
    x = 15,744.79

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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.