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Finding the Fourth Proportional to 2,597.20, 3,892.74 and 1,296

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Solution

The fourth proportional to 2,597.20, 3,892.74 and 1,296 is: 1,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.20 : 3,892.74 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,597.20/3,892.74 = 1,296/x
  3. Step 3: Cross multiply
    2,597.20x = 3,892.74 × 1,296
  4. Step 4: Simplify right side
    2,597.20x = 5,044,991.04
  5. Step 5: Solve for x
    x = 5,044,991.04/2,597.20
  6. Step 6: Final answer
    x = 1,942.47

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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.