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Finding the Fourth Proportional to 12,103.80, 16,704.09 and 6,726.89

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Solution

The fourth proportional to 12,103.80, 16,704.09 and 6,726.89 is: 9,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.80 : 16,704.09 = 6,726.89 : x
  2. Step 2: Convert to fraction form
    12,103.80/16,704.09 = 6,726.89/x
  3. Step 3: Cross multiply
    12,103.80x = 16,704.09 × 6,726.89
  4. Step 4: Simplify right side
    12,103.80x = 112,366,492.46
  5. Step 5: Solve for x
    x = 112,366,492.46/12,103.80
  6. Step 6: Final answer
    x = 9,283.57

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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.