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Finding the Fourth Proportional to 8,657.96, 12,990.04 and 2,814.60

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Solution

The fourth proportional to 8,657.96, 12,990.04 and 2,814.60 is: 4,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.96 : 12,990.04 = 2,814.60 : x
  2. Step 2: Convert to fraction form
    8,657.96/12,990.04 = 2,814.60/x
  3. Step 3: Cross multiply
    8,657.96x = 12,990.04 × 2,814.60
  4. Step 4: Simplify right side
    8,657.96x = 36,561,766.58
  5. Step 5: Solve for x
    x = 36,561,766.58/8,657.96
  6. Step 6: Final answer
    x = 4,222.91

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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.