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Finding the Fourth Proportional to 18,507.28, 27,741.42 and 7,974.82

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Solution

The fourth proportional to 18,507.28, 27,741.42 and 7,974.82 is: 11,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.28 : 27,741.42 = 7,974.82 : x
  2. Step 2: Convert to fraction form
    18,507.28/27,741.42 = 7,974.82/x
  3. Step 3: Cross multiply
    18,507.28x = 27,741.42 × 7,974.82
  4. Step 4: Simplify right side
    18,507.28x = 221,232,831.04
  5. Step 5: Solve for x
    x = 221,232,831.04/18,507.28
  6. Step 6: Final answer
    x = 11,953.83

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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.