Home / 7,941.80-11,912.49-2,098.46

Finding the Fourth Proportional to 7,941.80, 11,912.49 and 2,098.46

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Solution

The fourth proportional to 7,941.80, 11,912.49 and 2,098.46 is: 3,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.80 : 11,912.49 = 2,098.46 : x
  2. Step 2: Convert to fraction form
    7,941.80/11,912.49 = 2,098.46/x
  3. Step 3: Cross multiply
    7,941.80x = 11,912.49 × 2,098.46
  4. Step 4: Simplify right side
    7,941.80x = 24,997,913.55
  5. Step 5: Solve for x
    x = 24,997,913.55/7,941.80
  6. Step 6: Final answer
    x = 3,147.64

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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.