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Finding the Fourth Proportional to 5,942.60, 8,911.50 and 2,242.82

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Solution

The fourth proportional to 5,942.60, 8,911.50 and 2,242.82 is: 3,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.60 : 8,911.50 = 2,242.82 : x
  2. Step 2: Convert to fraction form
    5,942.60/8,911.50 = 2,242.82/x
  3. Step 3: Cross multiply
    5,942.60x = 8,911.50 × 2,242.82
  4. Step 4: Simplify right side
    5,942.60x = 19,986,845.87
  5. Step 5: Solve for x
    x = 19,986,845.87/5,942.60
  6. Step 6: Final answer
    x = 3,363.32

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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.