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Finding the Fourth Proportional to 12,361.14, 18,517.01 and 7,428.11

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Solution

The fourth proportional to 12,361.14, 18,517.01 and 7,428.11 is: 11,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.14 : 18,517.01 = 7,428.11 : x
  2. Step 2: Convert to fraction form
    12,361.14/18,517.01 = 7,428.11/x
  3. Step 3: Cross multiply
    12,361.14x = 18,517.01 × 7,428.11
  4. Step 4: Simplify right side
    12,361.14x = 137,546,257.43
  5. Step 5: Solve for x
    x = 137,546,257.43/12,361.14
  6. Step 6: Final answer
    x = 11,127.31

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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.