Home / 3,493-5,234.56-1,933.70

Finding the Fourth Proportional to 3,493, 5,234.56 and 1,933.70

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Solution

The fourth proportional to 3,493, 5,234.56 and 1,933.70 is: 2,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493 : 5,234.56 = 1,933.70 : x
  2. Step 2: Convert to fraction form
    3,493/5,234.56 = 1,933.70/x
  3. Step 3: Cross multiply
    3,493x = 5,234.56 × 1,933.70
  4. Step 4: Simplify right side
    3,493x = 10,122,068.67
  5. Step 5: Solve for x
    x = 10,122,068.67/3,493
  6. Step 6: Final answer
    x = 2,897.82

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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.