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Finding the Fourth Proportional to 7,161.80, 9,883.14 and 4,019

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Solution

The fourth proportional to 7,161.80, 9,883.14 and 4,019 is: 5,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.80 : 9,883.14 = 4,019 : x
  2. Step 2: Convert to fraction form
    7,161.80/9,883.14 = 4,019/x
  3. Step 3: Cross multiply
    7,161.80x = 9,883.14 × 4,019
  4. Step 4: Simplify right side
    7,161.80x = 39,720,339.66
  5. Step 5: Solve for x
    x = 39,720,339.66/7,161.80
  6. Step 6: Final answer
    x = 5,546.14

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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.