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Finding the Fourth Proportional to 12,367.30, 17,080.97 and 8,381.49

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Solution

The fourth proportional to 12,367.30, 17,080.97 and 8,381.49 is: 11,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.30 : 17,080.97 = 8,381.49 : x
  2. Step 2: Convert to fraction form
    12,367.30/17,080.97 = 8,381.49/x
  3. Step 3: Cross multiply
    12,367.30x = 17,080.97 × 8,381.49
  4. Step 4: Simplify right side
    12,367.30x = 143,163,990.12
  5. Step 5: Solve for x
    x = 143,163,990.12/12,367.30
  6. Step 6: Final answer
    x = 11,576.01

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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.