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Finding the Fourth Proportional to 11,409.10, 15,744.36 and 6,373

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Solution

The fourth proportional to 11,409.10, 15,744.36 and 6,373 is: 8,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.10 : 15,744.36 = 6,373 : x
  2. Step 2: Convert to fraction form
    11,409.10/15,744.36 = 6,373/x
  3. Step 3: Cross multiply
    11,409.10x = 15,744.36 × 6,373
  4. Step 4: Simplify right side
    11,409.10x = 100,338,806.28
  5. Step 5: Solve for x
    x = 100,338,806.28/11,409.10
  6. Step 6: Final answer
    x = 8,794.63

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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.