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Finding the Fourth Proportional to 12,231.09, 16,878.83 and 6,642.09

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Solution

The fourth proportional to 12,231.09, 16,878.83 and 6,642.09 is: 9,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.09 : 16,878.83 = 6,642.09 : x
  2. Step 2: Convert to fraction form
    12,231.09/16,878.83 = 6,642.09/x
  3. Step 3: Cross multiply
    12,231.09x = 16,878.83 × 6,642.09
  4. Step 4: Simplify right side
    12,231.09x = 112,110,674.74
  5. Step 5: Solve for x
    x = 112,110,674.74/12,231.09
  6. Step 6: Final answer
    x = 9,166.04

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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.