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Finding the Fourth Proportional to 8,650.83, 12,978.60 and 2,807.44

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Solution

The fourth proportional to 8,650.83, 12,978.60 and 2,807.44 is: 4,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.83 : 12,978.60 = 2,807.44 : x
  2. Step 2: Convert to fraction form
    8,650.83/12,978.60 = 2,807.44/x
  3. Step 3: Cross multiply
    8,650.83x = 12,978.60 × 2,807.44
  4. Step 4: Simplify right side
    8,650.83x = 36,436,694.50
  5. Step 5: Solve for x
    x = 36,436,694.50/8,650.83
  6. Step 6: Final answer
    x = 4,211.93

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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.