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Finding the Fourth Proportional to 12,195.59, 16,829.72 and 6,890.09

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Solution

The fourth proportional to 12,195.59, 16,829.72 and 6,890.09 is: 9,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.59 : 16,829.72 = 6,890.09 : x
  2. Step 2: Convert to fraction form
    12,195.59/16,829.72 = 6,890.09/x
  3. Step 3: Cross multiply
    12,195.59x = 16,829.72 × 6,890.09
  4. Step 4: Simplify right side
    12,195.59x = 115,958,285.47
  5. Step 5: Solve for x
    x = 115,958,285.47/12,195.59
  6. Step 6: Final answer
    x = 9,508.21

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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.