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Finding the Fourth Proportional to 7,121.12, 9,800.19 and 5,834.43

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Solution

The fourth proportional to 7,121.12, 9,800.19 and 5,834.43 is: 8,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.12 : 9,800.19 = 5,834.43 : x
  2. Step 2: Convert to fraction form
    7,121.12/9,800.19 = 5,834.43/x
  3. Step 3: Cross multiply
    7,121.12x = 9,800.19 × 5,834.43
  4. Step 4: Simplify right side
    7,121.12x = 57,178,522.54
  5. Step 5: Solve for x
    x = 57,178,522.54/7,121.12
  6. Step 6: Final answer
    x = 8,029.43

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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.