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Finding the Fourth Proportional to 11,949.77, 16,490.76 and 6,644.63

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Solution

The fourth proportional to 11,949.77, 16,490.76 and 6,644.63 is: 9,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.77 : 16,490.76 = 6,644.63 : x
  2. Step 2: Convert to fraction form
    11,949.77/16,490.76 = 6,644.63/x
  3. Step 3: Cross multiply
    11,949.77x = 16,490.76 × 6,644.63
  4. Step 4: Simplify right side
    11,949.77x = 109,574,998.62
  5. Step 5: Solve for x
    x = 109,574,998.62/11,949.77
  6. Step 6: Final answer
    x = 9,169.63

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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.