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Finding the Fourth Proportional to 12,808.09, 17,664.33 and 8,328.43

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Solution

The fourth proportional to 12,808.09, 17,664.33 and 8,328.43 is: 11,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.09 : 17,664.33 = 8,328.43 : x
  2. Step 2: Convert to fraction form
    12,808.09/17,664.33 = 8,328.43/x
  3. Step 3: Cross multiply
    12,808.09x = 17,664.33 × 8,328.43
  4. Step 4: Simplify right side
    12,808.09x = 147,116,135.90
  5. Step 5: Solve for x
    x = 147,116,135.90/12,808.09
  6. Step 6: Final answer
    x = 11,486.19

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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.