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Finding the Fourth Proportional to 3,515.70, 5,274 and 1,294.22

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Solution

The fourth proportional to 3,515.70, 5,274 and 1,294.22 is: 1,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.70 : 5,274 = 1,294.22 : x
  2. Step 2: Convert to fraction form
    3,515.70/5,274 = 1,294.22/x
  3. Step 3: Cross multiply
    3,515.70x = 5,274 × 1,294.22
  4. Step 4: Simplify right side
    3,515.70x = 6,825,716.28
  5. Step 5: Solve for x
    x = 6,825,716.28/3,515.70
  6. Step 6: Final answer
    x = 1,941.50

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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.