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Finding the Fourth Proportional to 9,678.96, 13,363.38 and 8,629.20

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Solution

The fourth proportional to 9,678.96, 13,363.38 and 8,629.20 is: 11,914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.96 : 13,363.38 = 8,629.20 : x
  2. Step 2: Convert to fraction form
    9,678.96/13,363.38 = 8,629.20/x
  3. Step 3: Cross multiply
    9,678.96x = 13,363.38 × 8,629.20
  4. Step 4: Simplify right side
    9,678.96x = 115,315,278.70
  5. Step 5: Solve for x
    x = 115,315,278.70/9,678.96
  6. Step 6: Final answer
    x = 11,914.02

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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.