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Finding the Fourth Proportional to 8,741.70, 13,121.10 and 6,245.82

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Solution

The fourth proportional to 8,741.70, 13,121.10 and 6,245.82 is: 9,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.70 : 13,121.10 = 6,245.82 : x
  2. Step 2: Convert to fraction form
    8,741.70/13,121.10 = 6,245.82/x
  3. Step 3: Cross multiply
    8,741.70x = 13,121.10 × 6,245.82
  4. Step 4: Simplify right side
    8,741.70x = 81,952,028.80
  5. Step 5: Solve for x
    x = 81,952,028.80/8,741.70
  6. Step 6: Final answer
    x = 9,374.84

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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.