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Finding the Fourth Proportional to 7,843.69, 10,820.49 and 5,193.32

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Solution

The fourth proportional to 7,843.69, 10,820.49 and 5,193.32 is: 7,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.69 : 10,820.49 = 5,193.32 : x
  2. Step 2: Convert to fraction form
    7,843.69/10,820.49 = 5,193.32/x
  3. Step 3: Cross multiply
    7,843.69x = 10,820.49 × 5,193.32
  4. Step 4: Simplify right side
    7,843.69x = 56,194,193.55
  5. Step 5: Solve for x
    x = 56,194,193.55/7,843.69
  6. Step 6: Final answer
    x = 7,164.26

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