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Finding the Fourth Proportional to 11,264.64, 16,892.64 and 7,791.36

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Solution

The fourth proportional to 11,264.64, 16,892.64 and 7,791.36 is: 11,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.64 : 16,892.64 = 7,791.36 : x
  2. Step 2: Convert to fraction form
    11,264.64/16,892.64 = 7,791.36/x
  3. Step 3: Cross multiply
    11,264.64x = 16,892.64 × 7,791.36
  4. Step 4: Simplify right side
    11,264.64x = 131,616,639.59
  5. Step 5: Solve for x
    x = 131,616,639.59/11,264.64
  6. Step 6: Final answer
    x = 11,684.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.