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Finding the Fourth Proportional to 11,246, 15,519.48 and 6,278

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Solution

The fourth proportional to 11,246, 15,519.48 and 6,278 is: 8,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246 : 15,519.48 = 6,278 : x
  2. Step 2: Convert to fraction form
    11,246/15,519.48 = 6,278/x
  3. Step 3: Cross multiply
    11,246x = 15,519.48 × 6,278
  4. Step 4: Simplify right side
    11,246x = 97,431,295.44
  5. Step 5: Solve for x
    x = 97,431,295.44/11,246
  6. Step 6: Final answer
    x = 8,663.64

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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.