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Finding the Fourth Proportional to 7,251.86, 10,878.36 and 3,091.90

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Solution

The fourth proportional to 7,251.86, 10,878.36 and 3,091.90 is: 4,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.86 : 10,878.36 = 3,091.90 : x
  2. Step 2: Convert to fraction form
    7,251.86/10,878.36 = 3,091.90/x
  3. Step 3: Cross multiply
    7,251.86x = 10,878.36 × 3,091.90
  4. Step 4: Simplify right side
    7,251.86x = 33,634,754.47
  5. Step 5: Solve for x
    x = 33,634,754.47/7,251.86
  6. Step 6: Final answer
    x = 4,638.09

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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.