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Finding the Fourth Proportional to 18,532.54, 27,763.86 and 9,161.64

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Solution

The fourth proportional to 18,532.54, 27,763.86 and 9,161.64 is: 13,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.54 : 27,763.86 = 9,161.64 : x
  2. Step 2: Convert to fraction form
    18,532.54/27,763.86 = 9,161.64/x
  3. Step 3: Cross multiply
    18,532.54x = 27,763.86 × 9,161.64
  4. Step 4: Simplify right side
    18,532.54x = 254,362,490.33
  5. Step 5: Solve for x
    x = 254,362,490.33/18,532.54
  6. Step 6: Final answer
    x = 13,725.18

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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.