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Finding the Fourth Proportional to 15,773.42, 21,769.83 and 9,485.80

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Solution

The fourth proportional to 15,773.42, 21,769.83 and 9,485.80 is: 13,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.42 : 21,769.83 = 9,485.80 : x
  2. Step 2: Convert to fraction form
    15,773.42/21,769.83 = 9,485.80/x
  3. Step 3: Cross multiply
    15,773.42x = 21,769.83 × 9,485.80
  4. Step 4: Simplify right side
    15,773.42x = 206,504,097.14
  5. Step 5: Solve for x
    x = 206,504,097.14/15,773.42
  6. Step 6: Final answer
    x = 13,091.90

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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.