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Finding the Fourth Proportional to 11,381.97, 15,698.22 and 7,404.36

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Solution

The fourth proportional to 11,381.97, 15,698.22 and 7,404.36 is: 10,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.97 : 15,698.22 = 7,404.36 : x
  2. Step 2: Convert to fraction form
    11,381.97/15,698.22 = 7,404.36/x
  3. Step 3: Cross multiply
    11,381.97x = 15,698.22 × 7,404.36
  4. Step 4: Simplify right side
    11,381.97x = 116,235,272.24
  5. Step 5: Solve for x
    x = 116,235,272.24/11,381.97
  6. Step 6: Final answer
    x = 10,212.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.