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Finding the Fourth Proportional to 9,416.96, 12,990 and 5,874.02

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Solution

The fourth proportional to 9,416.96, 12,990 and 5,874.02 is: 8,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.96 : 12,990 = 5,874.02 : x
  2. Step 2: Convert to fraction form
    9,416.96/12,990 = 5,874.02/x
  3. Step 3: Cross multiply
    9,416.96x = 12,990 × 5,874.02
  4. Step 4: Simplify right side
    9,416.96x = 76,303,519.80
  5. Step 5: Solve for x
    x = 76,303,519.80/9,416.96
  6. Step 6: Final answer
    x = 8,102.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.