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Finding the Fourth Proportional to 11,770.20, 16,243.43 and 6,465.51

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Solution

The fourth proportional to 11,770.20, 16,243.43 and 6,465.51 is: 8,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.20 : 16,243.43 = 6,465.51 : x
  2. Step 2: Convert to fraction form
    11,770.20/16,243.43 = 6,465.51/x
  3. Step 3: Cross multiply
    11,770.20x = 16,243.43 × 6,465.51
  4. Step 4: Simplify right side
    11,770.20x = 105,022,026.77
  5. Step 5: Solve for x
    x = 105,022,026.77/11,770.20
  6. Step 6: Final answer
    x = 8,922.71

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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.