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Finding the Fourth Proportional to 7,895.80, 11,857.74 and 6,817.96

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Solution

The fourth proportional to 7,895.80, 11,857.74 and 6,817.96 is: 10,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.80 : 11,857.74 = 6,817.96 : x
  2. Step 2: Convert to fraction form
    7,895.80/11,857.74 = 6,817.96/x
  3. Step 3: Cross multiply
    7,895.80x = 11,857.74 × 6,817.96
  4. Step 4: Simplify right side
    7,895.80x = 80,845,597.01
  5. Step 5: Solve for x
    x = 80,845,597.01/7,895.80
  6. Step 6: Final answer
    x = 10,239.06

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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.