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Finding the Fourth Proportional to 8,380, 11,564.40 and 5,068

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Solution

The fourth proportional to 8,380, 11,564.40 and 5,068 is: 6,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380 : 11,564.40 = 5,068 : x
  2. Step 2: Convert to fraction form
    8,380/11,564.40 = 5,068/x
  3. Step 3: Cross multiply
    8,380x = 11,564.40 × 5,068
  4. Step 4: Simplify right side
    8,380x = 58,608,379.20
  5. Step 5: Solve for x
    x = 58,608,379.20/8,380
  6. Step 6: Final answer
    x = 6,993.84

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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.