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Finding the Fourth Proportional to 12,208.80, 16,849.44 and 9,379.20

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Solution

The fourth proportional to 12,208.80, 16,849.44 and 9,379.20 is: 12,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.80 : 16,849.44 = 9,379.20 : x
  2. Step 2: Convert to fraction form
    12,208.80/16,849.44 = 9,379.20/x
  3. Step 3: Cross multiply
    12,208.80x = 16,849.44 × 9,379.20
  4. Step 4: Simplify right side
    12,208.80x = 158,034,267.65
  5. Step 5: Solve for x
    x = 158,034,267.65/12,208.80
  6. Step 6: Final answer
    x = 12,944.29

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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.