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Finding the Fourth Proportional to 11,456, 15,809.31 and 6,678.78

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Solution

The fourth proportional to 11,456, 15,809.31 and 6,678.78 is: 9,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456 : 15,809.31 = 6,678.78 : x
  2. Step 2: Convert to fraction form
    11,456/15,809.31 = 6,678.78/x
  3. Step 3: Cross multiply
    11,456x = 15,809.31 × 6,678.78
  4. Step 4: Simplify right side
    11,456x = 105,586,903.44
  5. Step 5: Solve for x
    x = 105,586,903.44/11,456
  6. Step 6: Final answer
    x = 9,216.73

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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.