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Finding the Fourth Proportional to 7,843.77, 10,818.41 and 5,327.82

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Solution

The fourth proportional to 7,843.77, 10,818.41 and 5,327.82 is: 7,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.77 : 10,818.41 = 5,327.82 : x
  2. Step 2: Convert to fraction form
    7,843.77/10,818.41 = 5,327.82/x
  3. Step 3: Cross multiply
    7,843.77x = 10,818.41 × 5,327.82
  4. Step 4: Simplify right side
    7,843.77x = 57,638,514.53
  5. Step 5: Solve for x
    x = 57,638,514.53/7,843.77
  6. Step 6: Final answer
    x = 7,348.32

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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.