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Finding the Fourth Proportional to 12,265, 16,925.70 and 6,676

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Solution

The fourth proportional to 12,265, 16,925.70 and 6,676 is: 9,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265 : 16,925.70 = 6,676 : x
  2. Step 2: Convert to fraction form
    12,265/16,925.70 = 6,676/x
  3. Step 3: Cross multiply
    12,265x = 16,925.70 × 6,676
  4. Step 4: Simplify right side
    12,265x = 112,995,973.20
  5. Step 5: Solve for x
    x = 112,995,973.20/12,265
  6. Step 6: Final answer
    x = 9,212.88

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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.