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Finding the Fourth Proportional to 15,009.12, 20,713.56 and 9,965.44

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Solution

The fourth proportional to 15,009.12, 20,713.56 and 9,965.44 is: 13,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009.12 : 20,713.56 = 9,965.44 : x
  2. Step 2: Convert to fraction form
    15,009.12/20,713.56 = 9,965.44/x
  3. Step 3: Cross multiply
    15,009.12x = 20,713.56 × 9,965.44
  4. Step 4: Simplify right side
    15,009.12x = 206,419,739.37
  5. Step 5: Solve for x
    x = 206,419,739.37/15,009.12
  6. Step 6: Final answer
    x = 13,752.96

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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.