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Finding the Fourth Proportional to 11,042.26, 15,215.25 and 7,499.32

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Solution

The fourth proportional to 11,042.26, 15,215.25 and 7,499.32 is: 10,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.26 : 15,215.25 = 7,499.32 : x
  2. Step 2: Convert to fraction form
    11,042.26/15,215.25 = 7,499.32/x
  3. Step 3: Cross multiply
    11,042.26x = 15,215.25 × 7,499.32
  4. Step 4: Simplify right side
    11,042.26x = 114,104,028.63
  5. Step 5: Solve for x
    x = 114,104,028.63/11,042.26
  6. Step 6: Final answer
    x = 10,333.39

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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.