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Finding the Fourth Proportional to 12,806.16, 17,672.62 and 7,141.56

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Solution

The fourth proportional to 12,806.16, 17,672.62 and 7,141.56 is: 9,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.16 : 17,672.62 = 7,141.56 : x
  2. Step 2: Convert to fraction form
    12,806.16/17,672.62 = 7,141.56/x
  3. Step 3: Cross multiply
    12,806.16x = 17,672.62 × 7,141.56
  4. Step 4: Simplify right side
    12,806.16x = 126,210,076.09
  5. Step 5: Solve for x
    x = 126,210,076.09/12,806.16
  6. Step 6: Final answer
    x = 9,855.42

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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.