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Finding the Fourth Proportional to 18,318, 27,478.32 and 13,418.64

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Solution

The fourth proportional to 18,318, 27,478.32 and 13,418.64 is: 20,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,318 : 27,478.32 = 13,418.64 : x
  2. Step 2: Convert to fraction form
    18,318/27,478.32 = 13,418.64/x
  3. Step 3: Cross multiply
    18,318x = 27,478.32 × 13,418.64
  4. Step 4: Simplify right side
    18,318x = 368,721,683.88
  5. Step 5: Solve for x
    x = 368,721,683.88/18,318
  6. Step 6: Final answer
    x = 20,128.93

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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.