Home / 5,097-7,645.50-1,634.52

Finding the Fourth Proportional to 5,097, 7,645.50 and 1,634.52

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Solution

The fourth proportional to 5,097, 7,645.50 and 1,634.52 is: 2,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097 : 7,645.50 = 1,634.52 : x
  2. Step 2: Convert to fraction form
    5,097/7,645.50 = 1,634.52/x
  3. Step 3: Cross multiply
    5,097x = 7,645.50 × 1,634.52
  4. Step 4: Simplify right side
    5,097x = 12,496,722.66
  5. Step 5: Solve for x
    x = 12,496,722.66/5,097
  6. Step 6: Final answer
    x = 2,451.78

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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.