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Finding the Fourth Proportional to 7,844.36, 11,770.56 and 5,213.68

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Solution

The fourth proportional to 7,844.36, 11,770.56 and 5,213.68 is: 7,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.36 : 11,770.56 = 5,213.68 : x
  2. Step 2: Convert to fraction form
    7,844.36/11,770.56 = 5,213.68/x
  3. Step 3: Cross multiply
    7,844.36x = 11,770.56 × 5,213.68
  4. Step 4: Simplify right side
    7,844.36x = 61,367,903.83
  5. Step 5: Solve for x
    x = 61,367,903.83/7,844.36
  6. Step 6: Final answer
    x = 7,823.19

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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.