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Finding the Fourth Proportional to 5,760, 7,948.80 and 3,276

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Solution

The fourth proportional to 5,760, 7,948.80 and 3,276 is: 4,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 7,948.80 = 3,276 : x
  2. Step 2: Convert to fraction form
    5,760/7,948.80 = 3,276/x
  3. Step 3: Cross multiply
    5,760x = 7,948.80 × 3,276
  4. Step 4: Simplify right side
    5,760x = 26,040,268.80
  5. Step 5: Solve for x
    x = 26,040,268.80/5,760
  6. Step 6: Final answer
    x = 4,520.88

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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.