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Finding the Fourth Proportional to 15,194.21, 20,965.93 and 8,478.98

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Solution

The fourth proportional to 15,194.21, 20,965.93 and 8,478.98 is: 11,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.21 : 20,965.93 = 8,478.98 : x
  2. Step 2: Convert to fraction form
    15,194.21/20,965.93 = 8,478.98/x
  3. Step 3: Cross multiply
    15,194.21x = 20,965.93 × 8,478.98
  4. Step 4: Simplify right side
    15,194.21x = 177,769,596.32
  5. Step 5: Solve for x
    x = 177,769,596.32/15,194.21
  6. Step 6: Final answer
    x = 11,699.83

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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.