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Finding the Fourth Proportional to 5,218.71, 7,201.56 and 2,949.99

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Solution

The fourth proportional to 5,218.71, 7,201.56 and 2,949.99 is: 4,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.71 : 7,201.56 = 2,949.99 : x
  2. Step 2: Convert to fraction form
    5,218.71/7,201.56 = 2,949.99/x
  3. Step 3: Cross multiply
    5,218.71x = 7,201.56 × 2,949.99
  4. Step 4: Simplify right side
    5,218.71x = 21,244,529.98
  5. Step 5: Solve for x
    x = 21,244,529.98/5,218.71
  6. Step 6: Final answer
    x = 4,070.84

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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.