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Finding the Fourth Proportional to 12,209.67, 16,849.38 and 7,728.75

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Solution

The fourth proportional to 12,209.67, 16,849.38 and 7,728.75 is: 10,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.67 : 16,849.38 = 7,728.75 : x
  2. Step 2: Convert to fraction form
    12,209.67/16,849.38 = 7,728.75/x
  3. Step 3: Cross multiply
    12,209.67x = 16,849.38 × 7,728.75
  4. Step 4: Simplify right side
    12,209.67x = 130,224,645.68
  5. Step 5: Solve for x
    x = 130,224,645.68/12,209.67
  6. Step 6: Final answer
    x = 10,665.70

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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.