Home / 5,178-7,747.56-3,221.04

Finding the Fourth Proportional to 5,178, 7,747.56 and 3,221.04

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Solution

The fourth proportional to 5,178, 7,747.56 and 3,221.04 is: 4,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 7,747.56 = 3,221.04 : x
  2. Step 2: Convert to fraction form
    5,178/7,747.56 = 3,221.04/x
  3. Step 3: Cross multiply
    5,178x = 7,747.56 × 3,221.04
  4. Step 4: Simplify right side
    5,178x = 24,955,200.66
  5. Step 5: Solve for x
    x = 24,955,200.66/5,178
  6. Step 6: Final answer
    x = 4,819.47

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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.