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Finding the Fourth Proportional to 12,832.31, 17,708.06 and 7,166.96

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Solution

The fourth proportional to 12,832.31, 17,708.06 and 7,166.96 is: 9,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.31 : 17,708.06 = 7,166.96 : x
  2. Step 2: Convert to fraction form
    12,832.31/17,708.06 = 7,166.96/x
  3. Step 3: Cross multiply
    12,832.31x = 17,708.06 × 7,166.96
  4. Step 4: Simplify right side
    12,832.31x = 126,912,957.70
  5. Step 5: Solve for x
    x = 126,912,957.70/12,832.31
  6. Step 6: Final answer
    x = 9,890.11

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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.