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Finding the Fourth Proportional to 12,465.36, 17,203.32 and 8,694

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Solution

The fourth proportional to 12,465.36, 17,203.32 and 8,694 is: 11,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.36 : 17,203.32 = 8,694 : x
  2. Step 2: Convert to fraction form
    12,465.36/17,203.32 = 8,694/x
  3. Step 3: Cross multiply
    12,465.36x = 17,203.32 × 8,694
  4. Step 4: Simplify right side
    12,465.36x = 149,565,664.08
  5. Step 5: Solve for x
    x = 149,565,664.08/12,465.36
  6. Step 6: Final answer
    x = 11,998.50

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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.