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Finding the Fourth Proportional to 7,952.82, 11,931 and 2,687.64

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Solution

The fourth proportional to 7,952.82, 11,931 and 2,687.64 is: 4,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.82 : 11,931 = 2,687.64 : x
  2. Step 2: Convert to fraction form
    7,952.82/11,931 = 2,687.64/x
  3. Step 3: Cross multiply
    7,952.82x = 11,931 × 2,687.64
  4. Step 4: Simplify right side
    7,952.82x = 32,066,232.84
  5. Step 5: Solve for x
    x = 32,066,232.84/7,952.82
  6. Step 6: Final answer
    x = 4,032.06

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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.