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Finding the Fourth Proportional to 11,656.80, 16,085.96 and 6,351.50

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Solution

The fourth proportional to 11,656.80, 16,085.96 and 6,351.50 is: 8,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.80 : 16,085.96 = 6,351.50 : x
  2. Step 2: Convert to fraction form
    11,656.80/16,085.96 = 6,351.50/x
  3. Step 3: Cross multiply
    11,656.80x = 16,085.96 × 6,351.50
  4. Step 4: Simplify right side
    11,656.80x = 102,169,862.75
  5. Step 5: Solve for x
    x = 102,169,862.75/11,656.80
  6. Step 6: Final answer
    x = 8,764.83

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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.