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Finding the Fourth Proportional to 10,072.80, 15,107.80 and 2,677.86

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Solution

The fourth proportional to 10,072.80, 15,107.80 and 2,677.86 is: 4,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.80 : 15,107.80 = 2,677.86 : x
  2. Step 2: Convert to fraction form
    10,072.80/15,107.80 = 2,677.86/x
  3. Step 3: Cross multiply
    10,072.80x = 15,107.80 × 2,677.86
  4. Step 4: Simplify right side
    10,072.80x = 40,456,561.12
  5. Step 5: Solve for x
    x = 40,456,561.12/10,072.80
  6. Step 6: Final answer
    x = 4,016.42

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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.