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Finding the Fourth Proportional to 7,644, 11,467.72 and 2,713.64

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Solution

The fourth proportional to 7,644, 11,467.72 and 2,713.64 is: 4,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644 : 11,467.72 = 2,713.64 : x
  2. Step 2: Convert to fraction form
    7,644/11,467.72 = 2,713.64/x
  3. Step 3: Cross multiply
    7,644x = 11,467.72 × 2,713.64
  4. Step 4: Simplify right side
    7,644x = 31,119,263.70
  5. Step 5: Solve for x
    x = 31,119,263.70/7,644
  6. Step 6: Final answer
    x = 4,071.07

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Why These Related Problems?

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