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Finding the Fourth Proportional to 8,978.92, 13,469.46 and 3,056.80

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Solution

The fourth proportional to 8,978.92, 13,469.46 and 3,056.80 is: 4,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.92 : 13,469.46 = 3,056.80 : x
  2. Step 2: Convert to fraction form
    8,978.92/13,469.46 = 3,056.80/x
  3. Step 3: Cross multiply
    8,978.92x = 13,469.46 × 3,056.80
  4. Step 4: Simplify right side
    8,978.92x = 41,173,445.33
  5. Step 5: Solve for x
    x = 41,173,445.33/8,978.92
  6. Step 6: Final answer
    x = 4,585.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.