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Finding the Fourth Proportional to 12,706.42, 17,528.97 and 8,231.68

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Solution

The fourth proportional to 12,706.42, 17,528.97 and 8,231.68 is: 11,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.42 : 17,528.97 = 8,231.68 : x
  2. Step 2: Convert to fraction form
    12,706.42/17,528.97 = 8,231.68/x
  3. Step 3: Cross multiply
    12,706.42x = 17,528.97 × 8,231.68
  4. Step 4: Simplify right side
    12,706.42x = 144,292,871.77
  5. Step 5: Solve for x
    x = 144,292,871.77/12,706.42
  6. Step 6: Final answer
    x = 11,355.90

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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.