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Finding the Fourth Proportional to 1,963.89, 2,941.98 and 1,140.44

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Solution

The fourth proportional to 1,963.89, 2,941.98 and 1,140.44 is: 1,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.89 : 2,941.98 = 1,140.44 : x
  2. Step 2: Convert to fraction form
    1,963.89/2,941.98 = 1,140.44/x
  3. Step 3: Cross multiply
    1,963.89x = 2,941.98 × 1,140.44
  4. Step 4: Simplify right side
    1,963.89x = 3,355,136.96
  5. Step 5: Solve for x
    x = 3,355,136.96/1,963.89
  6. Step 6: Final answer
    x = 1,708.41

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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.