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Finding the Fourth Proportional to 12,706.82, 17,516.85 and 8,918.54

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Solution

The fourth proportional to 12,706.82, 17,516.85 and 8,918.54 is: 12,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.82 : 17,516.85 = 8,918.54 : x
  2. Step 2: Convert to fraction form
    12,706.82/17,516.85 = 8,918.54/x
  3. Step 3: Cross multiply
    12,706.82x = 17,516.85 × 8,918.54
  4. Step 4: Simplify right side
    12,706.82x = 156,224,727.40
  5. Step 5: Solve for x
    x = 156,224,727.40/12,706.82
  6. Step 6: Final answer
    x = 12,294.56

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1.5x scale

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.