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Finding the Fourth Proportional to 18,254.66, 27,384.80 and 7,724.73

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Solution

The fourth proportional to 18,254.66, 27,384.80 and 7,724.73 is: 11,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,254.66 : 27,384.80 = 7,724.73 : x
  2. Step 2: Convert to fraction form
    18,254.66/27,384.80 = 7,724.73/x
  3. Step 3: Cross multiply
    18,254.66x = 27,384.80 × 7,724.73
  4. Step 4: Simplify right side
    18,254.66x = 211,540,147.48
  5. Step 5: Solve for x
    x = 211,540,147.48/18,254.66
  6. Step 6: Final answer
    x = 11,588.29

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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.