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Finding the Fourth Proportional to 12,786, 17,645.76 and 7,198.08

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Solution

The fourth proportional to 12,786, 17,645.76 and 7,198.08 is: 9,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 17,645.76 = 7,198.08 : x
  2. Step 2: Convert to fraction form
    12,786/17,645.76 = 7,198.08/x
  3. Step 3: Cross multiply
    12,786x = 17,645.76 × 7,198.08
  4. Step 4: Simplify right side
    12,786x = 127,015,592.14
  5. Step 5: Solve for x
    x = 127,015,592.14/12,786
  6. Step 6: Final answer
    x = 9,933.96

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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.