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Finding the Fourth Proportional to 11,616, 16,019.22 and 8,959.20

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Solution

The fourth proportional to 11,616, 16,019.22 and 8,959.20 is: 12,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 16,019.22 = 8,959.20 : x
  2. Step 2: Convert to fraction form
    11,616/16,019.22 = 8,959.20/x
  3. Step 3: Cross multiply
    11,616x = 16,019.22 × 8,959.20
  4. Step 4: Simplify right side
    11,616x = 143,519,395.82
  5. Step 5: Solve for x
    x = 143,519,395.82/11,616
  6. Step 6: Final answer
    x = 12,355.32

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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.