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Finding the Fourth Proportional to 7,662.30, 11,493.45 and 5,718.30

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Solution

The fourth proportional to 7,662.30, 11,493.45 and 5,718.30 is: 8,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.30 : 11,493.45 = 5,718.30 : x
  2. Step 2: Convert to fraction form
    7,662.30/11,493.45 = 5,718.30/x
  3. Step 3: Cross multiply
    7,662.30x = 11,493.45 × 5,718.30
  4. Step 4: Simplify right side
    7,662.30x = 65,722,995.14
  5. Step 5: Solve for x
    x = 65,722,995.14/7,662.30
  6. Step 6: Final answer
    x = 8,577.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.