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Finding the Fourth Proportional to 18,714, 28,072.62 and 4,863

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Solution

The fourth proportional to 18,714, 28,072.62 and 4,863 is: 7,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714 : 28,072.62 = 4,863 : x
  2. Step 2: Convert to fraction form
    18,714/28,072.62 = 4,863/x
  3. Step 3: Cross multiply
    18,714x = 28,072.62 × 4,863
  4. Step 4: Simplify right side
    18,714x = 136,517,151.06
  5. Step 5: Solve for x
    x = 136,517,151.06/18,714
  6. Step 6: Final answer
    x = 7,294.92

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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.