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Finding the Fourth Proportional to 7,183.88, 9,914.55 and 4,040

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Solution

The fourth proportional to 7,183.88, 9,914.55 and 4,040 is: 5,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.88 : 9,914.55 = 4,040 : x
  2. Step 2: Convert to fraction form
    7,183.88/9,914.55 = 4,040/x
  3. Step 3: Cross multiply
    7,183.88x = 9,914.55 × 4,040
  4. Step 4: Simplify right side
    7,183.88x = 40,054,782
  5. Step 5: Solve for x
    x = 40,054,782/7,183.88
  6. Step 6: Final answer
    x = 5,575.65

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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.