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Finding the Fourth Proportional to 5,218.34, 7,824.04 and 2,879.47

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Solution

The fourth proportional to 5,218.34, 7,824.04 and 2,879.47 is: 4,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.34 : 7,824.04 = 2,879.47 : x
  2. Step 2: Convert to fraction form
    5,218.34/7,824.04 = 2,879.47/x
  3. Step 3: Cross multiply
    5,218.34x = 7,824.04 × 2,879.47
  4. Step 4: Simplify right side
    5,218.34x = 22,529,063.23
  5. Step 5: Solve for x
    x = 22,529,063.23/5,218.34
  6. Step 6: Final answer
    x = 4,317.28

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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.