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Finding the Fourth Proportional to 5,216.13, 7,198.86 and 2,978.33

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Solution

The fourth proportional to 5,216.13, 7,198.86 and 2,978.33 is: 4,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.13 : 7,198.86 = 2,978.33 : x
  2. Step 2: Convert to fraction form
    5,216.13/7,198.86 = 2,978.33/x
  3. Step 3: Cross multiply
    5,216.13x = 7,198.86 × 2,978.33
  4. Step 4: Simplify right side
    5,216.13x = 21,440,544.71
  5. Step 5: Solve for x
    x = 21,440,544.71/5,216.13
  6. Step 6: Final answer
    x = 4,110.43

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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.