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Finding the Fourth Proportional to 12,467.64, 17,205.36 and 7,991.40

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Solution

The fourth proportional to 12,467.64, 17,205.36 and 7,991.40 is: 11,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.64 : 17,205.36 = 7,991.40 : x
  2. Step 2: Convert to fraction form
    12,467.64/17,205.36 = 7,991.40/x
  3. Step 3: Cross multiply
    12,467.64x = 17,205.36 × 7,991.40
  4. Step 4: Simplify right side
    12,467.64x = 137,494,913.90
  5. Step 5: Solve for x
    x = 137,494,913.90/12,467.64
  6. Step 6: Final answer
    x = 11,028.14

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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.