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Finding the Fourth Proportional to 3,599.56, 5,399.70 and 1,291

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Solution

The fourth proportional to 3,599.56, 5,399.70 and 1,291 is: 1,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.56 : 5,399.70 = 1,291 : x
  2. Step 2: Convert to fraction form
    3,599.56/5,399.70 = 1,291/x
  3. Step 3: Cross multiply
    3,599.56x = 5,399.70 × 1,291
  4. Step 4: Simplify right side
    3,599.56x = 6,971,012.70
  5. Step 5: Solve for x
    x = 6,971,012.70/3,599.56
  6. Step 6: Final answer
    x = 1,936.63

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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.