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Finding the Fourth Proportional to 8,673, 11,978.46 and 5,873.64

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Solution

The fourth proportional to 8,673, 11,978.46 and 5,873.64 is: 8,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673 : 11,978.46 = 5,873.64 : x
  2. Step 2: Convert to fraction form
    8,673/11,978.46 = 5,873.64/x
  3. Step 3: Cross multiply
    8,673x = 11,978.46 × 5,873.64
  4. Step 4: Simplify right side
    8,673x = 70,357,161.79
  5. Step 5: Solve for x
    x = 70,357,161.79/8,673
  6. Step 6: Final answer
    x = 8,112.21

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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.