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Finding the Fourth Proportional to 7,954.83, 10,978.32 and 4,418.26

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Solution

The fourth proportional to 7,954.83, 10,978.32 and 4,418.26 is: 6,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.83 : 10,978.32 = 4,418.26 : x
  2. Step 2: Convert to fraction form
    7,954.83/10,978.32 = 4,418.26/x
  3. Step 3: Cross multiply
    7,954.83x = 10,978.32 × 4,418.26
  4. Step 4: Simplify right side
    7,954.83x = 48,505,072.12
  5. Step 5: Solve for x
    x = 48,505,072.12/7,954.83
  6. Step 6: Final answer
    x = 6,097.56

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1.5x scale

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.