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Finding the Fourth Proportional to 5,215.81, 7,198.13 and 2,978.41

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Solution

The fourth proportional to 5,215.81, 7,198.13 and 2,978.41 is: 4,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.81 : 7,198.13 = 2,978.41 : x
  2. Step 2: Convert to fraction form
    5,215.81/7,198.13 = 2,978.41/x
  3. Step 3: Cross multiply
    5,215.81x = 7,198.13 × 2,978.41
  4. Step 4: Simplify right side
    5,215.81x = 21,438,982.37
  5. Step 5: Solve for x
    x = 21,438,982.37/5,215.81
  6. Step 6: Final answer
    x = 4,110.38

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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.