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Finding the Fourth Proportional to 3,493.77, 5,239.89 and 1,028.76

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Solution

The fourth proportional to 3,493.77, 5,239.89 and 1,028.76 is: 1,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.77 : 5,239.89 = 1,028.76 : x
  2. Step 2: Convert to fraction form
    3,493.77/5,239.89 = 1,028.76/x
  3. Step 3: Cross multiply
    3,493.77x = 5,239.89 × 1,028.76
  4. Step 4: Simplify right side
    3,493.77x = 5,390,589.24
  5. Step 5: Solve for x
    x = 5,390,589.24/3,493.77
  6. Step 6: Final answer
    x = 1,542.91

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1.5x scale

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.