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Finding the Fourth Proportional to 3,932, 5,426.64 and 2,276

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Solution

The fourth proportional to 3,932, 5,426.64 and 2,276 is: 3,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932 : 5,426.64 = 2,276 : x
  2. Step 2: Convert to fraction form
    3,932/5,426.64 = 2,276/x
  3. Step 3: Cross multiply
    3,932x = 5,426.64 × 2,276
  4. Step 4: Simplify right side
    3,932x = 12,351,032.64
  5. Step 5: Solve for x
    x = 12,351,032.64/3,932
  6. Step 6: Final answer
    x = 3,141.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.