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Finding the Fourth Proportional to 18,714, 28,078.29 and 7,028.13

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Solution

The fourth proportional to 18,714, 28,078.29 and 7,028.13 is: 10,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714 : 28,078.29 = 7,028.13 : x
  2. Step 2: Convert to fraction form
    18,714/28,078.29 = 7,028.13/x
  3. Step 3: Cross multiply
    18,714x = 28,078.29 × 7,028.13
  4. Step 4: Simplify right side
    18,714x = 197,337,872.30
  5. Step 5: Solve for x
    x = 197,337,872.30/18,714
  6. Step 6: Final answer
    x = 10,544.93

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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.