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Finding the Fourth Proportional to 10,804.56, 16,206.84 and 8,342.97

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Solution

The fourth proportional to 10,804.56, 16,206.84 and 8,342.97 is: 12,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.56 : 16,206.84 = 8,342.97 : x
  2. Step 2: Convert to fraction form
    10,804.56/16,206.84 = 8,342.97/x
  3. Step 3: Cross multiply
    10,804.56x = 16,206.84 × 8,342.97
  4. Step 4: Simplify right side
    10,804.56x = 135,213,179.91
  5. Step 5: Solve for x
    x = 135,213,179.91/10,804.56
  6. Step 6: Final answer
    x = 12,514.46

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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.