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Finding the Fourth Proportional to 7,898.22, 11,821.60 and 5,817.40

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Solution

The fourth proportional to 7,898.22, 11,821.60 and 5,817.40 is: 8,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.22 : 11,821.60 = 5,817.40 : x
  2. Step 2: Convert to fraction form
    7,898.22/11,821.60 = 5,817.40/x
  3. Step 3: Cross multiply
    7,898.22x = 11,821.60 × 5,817.40
  4. Step 4: Simplify right side
    7,898.22x = 68,770,975.84
  5. Step 5: Solve for x
    x = 68,770,975.84/7,898.22
  6. Step 6: Final answer
    x = 8,707.15

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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.