Home / 5,101.58-7,653.69-2,138.43

Finding the Fourth Proportional to 5,101.58, 7,653.69 and 2,138.43

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Solution

The fourth proportional to 5,101.58, 7,653.69 and 2,138.43 is: 3,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.58 : 7,653.69 = 2,138.43 : x
  2. Step 2: Convert to fraction form
    5,101.58/7,653.69 = 2,138.43/x
  3. Step 3: Cross multiply
    5,101.58x = 7,653.69 × 2,138.43
  4. Step 4: Simplify right side
    5,101.58x = 16,366,909.01
  5. Step 5: Solve for x
    x = 16,366,909.01/5,101.58
  6. Step 6: Final answer
    x = 3,208.20

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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.