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Finding the Fourth Proportional to 5,419.98, 8,131.98 and 3,315.93

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Solution

The fourth proportional to 5,419.98, 8,131.98 and 3,315.93 is: 4,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.98 : 8,131.98 = 3,315.93 : x
  2. Step 2: Convert to fraction form
    5,419.98/8,131.98 = 3,315.93/x
  3. Step 3: Cross multiply
    5,419.98x = 8,131.98 × 3,315.93
  4. Step 4: Simplify right side
    5,419.98x = 26,965,076.44
  5. Step 5: Solve for x
    x = 26,965,076.44/5,419.98
  6. Step 6: Final answer
    x = 4,975.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.