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Finding the Fourth Proportional to 5,179.68, 7,148.07 and 2,821.82

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Solution

The fourth proportional to 5,179.68, 7,148.07 and 2,821.82 is: 3,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.68 : 7,148.07 = 2,821.82 : x
  2. Step 2: Convert to fraction form
    5,179.68/7,148.07 = 2,821.82/x
  3. Step 3: Cross multiply
    5,179.68x = 7,148.07 × 2,821.82
  4. Step 4: Simplify right side
    5,179.68x = 20,170,566.89
  5. Step 5: Solve for x
    x = 20,170,566.89/5,179.68
  6. Step 6: Final answer
    x = 3,894.17

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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.