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Finding the Fourth Proportional to 12,195.50, 16,829.97 and 6,606.50

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Solution

The fourth proportional to 12,195.50, 16,829.97 and 6,606.50 is: 9,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.50 : 16,829.97 = 6,606.50 : x
  2. Step 2: Convert to fraction form
    12,195.50/16,829.97 = 6,606.50/x
  3. Step 3: Cross multiply
    12,195.50x = 16,829.97 × 6,606.50
  4. Step 4: Simplify right side
    12,195.50x = 111,187,196.81
  5. Step 5: Solve for x
    x = 111,187,196.81/12,195.50
  6. Step 6: Final answer
    x = 9,117.07

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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.