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Finding the Fourth Proportional to 12,686.48, 17,500.20 and 8,954

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Solution

The fourth proportional to 12,686.48, 17,500.20 and 8,954 is: 12,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.48 : 17,500.20 = 8,954 : x
  2. Step 2: Convert to fraction form
    12,686.48/17,500.20 = 8,954/x
  3. Step 3: Cross multiply
    12,686.48x = 17,500.20 × 8,954
  4. Step 4: Simplify right side
    12,686.48x = 156,696,790.80
  5. Step 5: Solve for x
    x = 156,696,790.80/12,686.48
  6. Step 6: Final answer
    x = 12,351.48

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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.