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Finding the Fourth Proportional to 12,357.57, 18,539.09 and 6,808.06

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Solution

The fourth proportional to 12,357.57, 18,539.09 and 6,808.06 is: 10,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.57 : 18,539.09 = 6,808.06 : x
  2. Step 2: Convert to fraction form
    12,357.57/18,539.09 = 6,808.06/x
  3. Step 3: Cross multiply
    12,357.57x = 18,539.09 × 6,808.06
  4. Step 4: Simplify right side
    12,357.57x = 126,215,147.45
  5. Step 5: Solve for x
    x = 126,215,147.45/12,357.57
  6. Step 6: Final answer
    x = 10,213.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.