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Finding the Fourth Proportional to 5,288.70, 7,934.94 and 3,212.94

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Solution

The fourth proportional to 5,288.70, 7,934.94 and 3,212.94 is: 4,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.70 : 7,934.94 = 3,212.94 : x
  2. Step 2: Convert to fraction form
    5,288.70/7,934.94 = 3,212.94/x
  3. Step 3: Cross multiply
    5,288.70x = 7,934.94 × 3,212.94
  4. Step 4: Simplify right side
    5,288.70x = 25,494,486.12
  5. Step 5: Solve for x
    x = 25,494,486.12/5,288.70
  6. Step 6: Final answer
    x = 4,820.56

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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.