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Finding the Fourth Proportional to 11,361.97, 15,692.64 and 7,578.56

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Solution

The fourth proportional to 11,361.97, 15,692.64 and 7,578.56 is: 10,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.97 : 15,692.64 = 7,578.56 : x
  2. Step 2: Convert to fraction form
    11,361.97/15,692.64 = 7,578.56/x
  3. Step 3: Cross multiply
    11,361.97x = 15,692.64 × 7,578.56
  4. Step 4: Simplify right side
    11,361.97x = 118,927,613.80
  5. Step 5: Solve for x
    x = 118,927,613.80/11,361.97
  6. Step 6: Final answer
    x = 10,467.16

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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.