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Finding the Fourth Proportional to 5,216, 7,198.10 and 2,858.16

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Solution

The fourth proportional to 5,216, 7,198.10 and 2,858.16 is: 3,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 7,198.10 = 2,858.16 : x
  2. Step 2: Convert to fraction form
    5,216/7,198.10 = 2,858.16/x
  3. Step 3: Cross multiply
    5,216x = 7,198.10 × 2,858.16
  4. Step 4: Simplify right side
    5,216x = 20,573,321.50
  5. Step 5: Solve for x
    x = 20,573,321.50/5,216
  6. Step 6: Final answer
    x = 3,944.27

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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.