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Finding the Fourth Proportional to 7,844.12, 11,770.24 and 5,213.49

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Solution

The fourth proportional to 7,844.12, 11,770.24 and 5,213.49 is: 7,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.12 : 11,770.24 = 5,213.49 : x
  2. Step 2: Convert to fraction form
    7,844.12/11,770.24 = 5,213.49/x
  3. Step 3: Cross multiply
    7,844.12x = 11,770.24 × 5,213.49
  4. Step 4: Simplify right side
    7,844.12x = 61,363,999.58
  5. Step 5: Solve for x
    x = 61,363,999.58/7,844.12
  6. Step 6: Final answer
    x = 7,822.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.