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Finding the Fourth Proportional to 9,523.80, 13,139.78 and 6,169.19

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Solution

The fourth proportional to 9,523.80, 13,139.78 and 6,169.19 is: 8,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.80 : 13,139.78 = 6,169.19 : x
  2. Step 2: Convert to fraction form
    9,523.80/13,139.78 = 6,169.19/x
  3. Step 3: Cross multiply
    9,523.80x = 13,139.78 × 6,169.19
  4. Step 4: Simplify right side
    9,523.80x = 81,061,702.83
  5. Step 5: Solve for x
    x = 81,061,702.83/9,523.80
  6. Step 6: Final answer
    x = 8,511.49

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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.