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Finding the Fourth Proportional to 8,626.86, 12,946.72 and 6,410.80

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Solution

The fourth proportional to 8,626.86, 12,946.72 and 6,410.80 is: 9,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.86 : 12,946.72 = 6,410.80 : x
  2. Step 2: Convert to fraction form
    8,626.86/12,946.72 = 6,410.80/x
  3. Step 3: Cross multiply
    8,626.86x = 12,946.72 × 6,410.80
  4. Step 4: Simplify right side
    8,626.86x = 82,998,832.58
  5. Step 5: Solve for x
    x = 82,998,832.58/8,626.86
  6. Step 6: Final answer
    x = 9,620.98

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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.