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Finding the Fourth Proportional to 18,527.67, 27,784.42 and 9,164.48

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Solution

The fourth proportional to 18,527.67, 27,784.42 and 9,164.48 is: 13,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.67 : 27,784.42 = 9,164.48 : x
  2. Step 2: Convert to fraction form
    18,527.67/27,784.42 = 9,164.48/x
  3. Step 3: Cross multiply
    18,527.67x = 27,784.42 × 9,164.48
  4. Step 4: Simplify right side
    18,527.67x = 254,629,599.57
  5. Step 5: Solve for x
    x = 254,629,599.57/18,527.67
  6. Step 6: Final answer
    x = 13,743.21

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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.