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Finding the Fourth Proportional to 7,644.78, 11,464.57 and 2,713.71

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Solution

The fourth proportional to 7,644.78, 11,464.57 and 2,713.71 is: 4,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.78 : 11,464.57 = 2,713.71 : x
  2. Step 2: Convert to fraction form
    7,644.78/11,464.57 = 2,713.71/x
  3. Step 3: Cross multiply
    7,644.78x = 11,464.57 × 2,713.71
  4. Step 4: Simplify right side
    7,644.78x = 31,111,518.25
  5. Step 5: Solve for x
    x = 31,111,518.25/7,644.78
  6. Step 6: Final answer
    x = 4,069.64

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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.