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Finding the Fourth Proportional to 10,876.83, 16,290.47 and 6,485.22

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Solution

The fourth proportional to 10,876.83, 16,290.47 and 6,485.22 is: 9,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.83 : 16,290.47 = 6,485.22 : x
  2. Step 2: Convert to fraction form
    10,876.83/16,290.47 = 6,485.22/x
  3. Step 3: Cross multiply
    10,876.83x = 16,290.47 × 6,485.22
  4. Step 4: Simplify right side
    10,876.83x = 105,647,249.43
  5. Step 5: Solve for x
    x = 105,647,249.43/10,876.83
  6. Step 6: Final answer
    x = 9,713.06

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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.