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Finding the Fourth Proportional to 11,338.08, 16,978.32 and 7,636.32

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Solution

The fourth proportional to 11,338.08, 16,978.32 and 7,636.32 is: 11,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.08 : 16,978.32 = 7,636.32 : x
  2. Step 2: Convert to fraction form
    11,338.08/16,978.32 = 7,636.32/x
  3. Step 3: Cross multiply
    11,338.08x = 16,978.32 × 7,636.32
  4. Step 4: Simplify right side
    11,338.08x = 129,651,884.58
  5. Step 5: Solve for x
    x = 129,651,884.58/11,338.08
  6. Step 6: Final answer
    x = 11,435.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.