Home / 2,830.32-3,906-1,635.75

Finding the Fourth Proportional to 2,830.32, 3,906 and 1,635.75

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Solution

The fourth proportional to 2,830.32, 3,906 and 1,635.75 is: 2,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.32 : 3,906 = 1,635.75 : x
  2. Step 2: Convert to fraction form
    2,830.32/3,906 = 1,635.75/x
  3. Step 3: Cross multiply
    2,830.32x = 3,906 × 1,635.75
  4. Step 4: Simplify right side
    2,830.32x = 6,389,239.50
  5. Step 5: Solve for x
    x = 6,389,239.50/2,830.32
  6. Step 6: Final answer
    x = 2,257.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.