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Finding the Fourth Proportional to 12,166.76, 16,797.29 and 7,982.30

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Solution

The fourth proportional to 12,166.76, 16,797.29 and 7,982.30 is: 11,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.76 : 16,797.29 = 7,982.30 : x
  2. Step 2: Convert to fraction form
    12,166.76/16,797.29 = 7,982.30/x
  3. Step 3: Cross multiply
    12,166.76x = 16,797.29 × 7,982.30
  4. Step 4: Simplify right side
    12,166.76x = 134,080,884.07
  5. Step 5: Solve for x
    x = 134,080,884.07/12,166.76
  6. Step 6: Final answer
    x = 11,020.27

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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.