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Finding the Fourth Proportional to 5,216.16, 7,198 and 2,858.32

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Solution

The fourth proportional to 5,216.16, 7,198 and 2,858.32 is: 3,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.16 : 7,198 = 2,858.32 : x
  2. Step 2: Convert to fraction form
    5,216.16/7,198 = 2,858.32/x
  3. Step 3: Cross multiply
    5,216.16x = 7,198 × 2,858.32
  4. Step 4: Simplify right side
    5,216.16x = 20,574,187.36
  5. Step 5: Solve for x
    x = 20,574,187.36/5,216.16
  6. Step 6: Final answer
    x = 3,944.32

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1.5x scale

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.