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Finding the Fourth Proportional to 3,965.55, 5,946.95 and 1,367.88

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Solution

The fourth proportional to 3,965.55, 5,946.95 and 1,367.88 is: 2,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.55 : 5,946.95 = 1,367.88 : x
  2. Step 2: Convert to fraction form
    3,965.55/5,946.95 = 1,367.88/x
  3. Step 3: Cross multiply
    3,965.55x = 5,946.95 × 1,367.88
  4. Step 4: Simplify right side
    3,965.55x = 8,134,713.97
  5. Step 5: Solve for x
    x = 8,134,713.97/3,965.55
  6. Step 6: Final answer
    x = 2,051.35

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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.