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Finding the Fourth Proportional to 7,731.63, 10,664.90 and 6,832.49

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Solution

The fourth proportional to 7,731.63, 10,664.90 and 6,832.49 is: 9,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.63 : 10,664.90 = 6,832.49 : x
  2. Step 2: Convert to fraction form
    7,731.63/10,664.90 = 6,832.49/x
  3. Step 3: Cross multiply
    7,731.63x = 10,664.90 × 6,832.49
  4. Step 4: Simplify right side
    7,731.63x = 72,867,769.28
  5. Step 5: Solve for x
    x = 72,867,769.28/7,731.63
  6. Step 6: Final answer
    x = 9,424.63

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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.