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Finding the Fourth Proportional to 7,955.29, 10,978 and 4,418.43

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Solution

The fourth proportional to 7,955.29, 10,978 and 4,418.43 is: 6,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.29 : 10,978 = 4,418.43 : x
  2. Step 2: Convert to fraction form
    7,955.29/10,978 = 4,418.43/x
  3. Step 3: Cross multiply
    7,955.29x = 10,978 × 4,418.43
  4. Step 4: Simplify right side
    7,955.29x = 48,505,524.54
  5. Step 5: Solve for x
    x = 48,505,524.54/7,955.29
  6. Step 6: Final answer
    x = 6,097.27

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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.