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Finding the Fourth Proportional to 15,192.63, 20,965.77 and 8,478.18

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Solution

The fourth proportional to 15,192.63, 20,965.77 and 8,478.18 is: 11,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,192.63 : 20,965.77 = 8,478.18 : x
  2. Step 2: Convert to fraction form
    15,192.63/20,965.77 = 8,478.18/x
  3. Step 3: Cross multiply
    15,192.63x = 20,965.77 × 8,478.18
  4. Step 4: Simplify right side
    15,192.63x = 177,751,571.90
  5. Step 5: Solve for x
    x = 177,751,571.90/15,192.63
  6. Step 6: Final answer
    x = 11,699.86

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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.