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Finding the Fourth Proportional to 18,729.21, 28,097.92 and 7,042.43

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Solution

The fourth proportional to 18,729.21, 28,097.92 and 7,042.43 is: 10,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,729.21 : 28,097.92 = 7,042.43 : x
  2. Step 2: Convert to fraction form
    18,729.21/28,097.92 = 7,042.43/x
  3. Step 3: Cross multiply
    18,729.21x = 28,097.92 × 7,042.43
  4. Step 4: Simplify right side
    18,729.21x = 197,877,661.11
  5. Step 5: Solve for x
    x = 197,877,661.11/18,729.21
  6. Step 6: Final answer
    x = 10,565.19

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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.