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Finding the Fourth Proportional to 18,322.21, 27,477.81 and 7,792.14

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Solution

The fourth proportional to 18,322.21, 27,477.81 and 7,792.14 is: 11,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322.21 : 27,477.81 = 7,792.14 : x
  2. Step 2: Convert to fraction form
    18,322.21/27,477.81 = 7,792.14/x
  3. Step 3: Cross multiply
    18,322.21x = 27,477.81 × 7,792.14
  4. Step 4: Simplify right side
    18,322.21x = 214,110,942.41
  5. Step 5: Solve for x
    x = 214,110,942.41/18,322.21
  6. Step 6: Final answer
    x = 11,685.87

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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.