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Finding the Fourth Proportional to 7,161.82, 9,883.27 and 4,018

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Solution

The fourth proportional to 7,161.82, 9,883.27 and 4,018 is: 5,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.82 : 9,883.27 = 4,018 : x
  2. Step 2: Convert to fraction form
    7,161.82/9,883.27 = 4,018/x
  3. Step 3: Cross multiply
    7,161.82x = 9,883.27 × 4,018
  4. Step 4: Simplify right side
    7,161.82x = 39,710,978.86
  5. Step 5: Solve for x
    x = 39,710,978.86/7,161.82
  6. Step 6: Final answer
    x = 5,544.82

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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.