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Finding the Fourth Proportional to 12,688, 17,517.12 and 8,279.68

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Solution

The fourth proportional to 12,688, 17,517.12 and 8,279.68 is: 11,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688 : 17,517.12 = 8,279.68 : x
  2. Step 2: Convert to fraction form
    12,688/17,517.12 = 8,279.68/x
  3. Step 3: Cross multiply
    12,688x = 17,517.12 × 8,279.68
  4. Step 4: Simplify right side
    12,688x = 145,036,148.12
  5. Step 5: Solve for x
    x = 145,036,148.12/12,688
  6. Step 6: Final answer
    x = 11,430.97

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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.