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Finding the Fourth Proportional to 3,960.55, 5,941.14 and 1,038.85

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Solution

The fourth proportional to 3,960.55, 5,941.14 and 1,038.85 is: 1,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.55 : 5,941.14 = 1,038.85 : x
  2. Step 2: Convert to fraction form
    3,960.55/5,941.14 = 1,038.85/x
  3. Step 3: Cross multiply
    3,960.55x = 5,941.14 × 1,038.85
  4. Step 4: Simplify right side
    3,960.55x = 6,171,938.44
  5. Step 5: Solve for x
    x = 6,171,938.44/3,960.55
  6. Step 6: Final answer
    x = 1,558.35

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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.