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Finding the Fourth Proportional to 11,222.31, 15,481 and 6,744.40

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Solution

The fourth proportional to 11,222.31, 15,481 and 6,744.40 is: 9,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.31 : 15,481 = 6,744.40 : x
  2. Step 2: Convert to fraction form
    11,222.31/15,481 = 6,744.40/x
  3. Step 3: Cross multiply
    11,222.31x = 15,481 × 6,744.40
  4. Step 4: Simplify right side
    11,222.31x = 104,410,056.40
  5. Step 5: Solve for x
    x = 104,410,056.40/11,222.31
  6. Step 6: Final answer
    x = 9,303.79

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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.