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Finding the Fourth Proportional to 5,878.70, 8,819.56 and 2,758.12

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Solution

The fourth proportional to 5,878.70, 8,819.56 and 2,758.12 is: 4,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.70 : 8,819.56 = 2,758.12 : x
  2. Step 2: Convert to fraction form
    5,878.70/8,819.56 = 2,758.12/x
  3. Step 3: Cross multiply
    5,878.70x = 8,819.56 × 2,758.12
  4. Step 4: Simplify right side
    5,878.70x = 24,325,404.83
  5. Step 5: Solve for x
    x = 24,325,404.83/5,878.70
  6. Step 6: Final answer
    x = 4,137.89

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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.