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Finding the Fourth Proportional to 8,362.40, 12,543.62 and 2,122.40

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Solution

The fourth proportional to 8,362.40, 12,543.62 and 2,122.40 is: 3,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.40 : 12,543.62 = 2,122.40 : x
  2. Step 2: Convert to fraction form
    8,362.40/12,543.62 = 2,122.40/x
  3. Step 3: Cross multiply
    8,362.40x = 12,543.62 × 2,122.40
  4. Step 4: Simplify right side
    8,362.40x = 26,622,579.09
  5. Step 5: Solve for x
    x = 26,622,579.09/8,362.40
  6. Step 6: Final answer
    x = 3,183.61

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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.