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Finding the Fourth Proportional to 4,857.20, 7,272.84 and 4,274

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Solution

The fourth proportional to 4,857.20, 7,272.84 and 4,274 is: 6,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.20 : 7,272.84 = 4,274 : x
  2. Step 2: Convert to fraction form
    4,857.20/7,272.84 = 4,274/x
  3. Step 3: Cross multiply
    4,857.20x = 7,272.84 × 4,274
  4. Step 4: Simplify right side
    4,857.20x = 31,084,118.16
  5. Step 5: Solve for x
    x = 31,084,118.16/4,857.20
  6. Step 6: Final answer
    x = 6,399.60

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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.