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Finding the Fourth Proportional to 9,380, 12,944.40 and 6,068

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Solution

The fourth proportional to 9,380, 12,944.40 and 6,068 is: 8,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380 : 12,944.40 = 6,068 : x
  2. Step 2: Convert to fraction form
    9,380/12,944.40 = 6,068/x
  3. Step 3: Cross multiply
    9,380x = 12,944.40 × 6,068
  4. Step 4: Simplify right side
    9,380x = 78,546,619.20
  5. Step 5: Solve for x
    x = 78,546,619.20/9,380
  6. Step 6: Final answer
    x = 8,373.84

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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.