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Finding the Fourth Proportional to 9,189.50, 12,678 and 6,805.22

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Solution

The fourth proportional to 9,189.50, 12,678 and 6,805.22 is: 9,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.50 : 12,678 = 6,805.22 : x
  2. Step 2: Convert to fraction form
    9,189.50/12,678 = 6,805.22/x
  3. Step 3: Cross multiply
    9,189.50x = 12,678 × 6,805.22
  4. Step 4: Simplify right side
    9,189.50x = 86,276,579.16
  5. Step 5: Solve for x
    x = 86,276,579.16/9,189.50
  6. Step 6: Final answer
    x = 9,388.60

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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.