Home / 7,942.40-11,913.64-2,098.48

Finding the Fourth Proportional to 7,942.40, 11,913.64 and 2,098.48

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Solution

The fourth proportional to 7,942.40, 11,913.64 and 2,098.48 is: 3,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.40 : 11,913.64 = 2,098.48 : x
  2. Step 2: Convert to fraction form
    7,942.40/11,913.64 = 2,098.48/x
  3. Step 3: Cross multiply
    7,942.40x = 11,913.64 × 2,098.48
  4. Step 4: Simplify right side
    7,942.40x = 25,000,535.27
  5. Step 5: Solve for x
    x = 25,000,535.27/7,942.40
  6. Step 6: Final answer
    x = 3,147.73

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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.