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Finding the Fourth Proportional to 3,956, 5,925.08 and 2,969.92

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Solution

The fourth proportional to 3,956, 5,925.08 and 2,969.92 is: 4,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956 : 5,925.08 = 2,969.92 : x
  2. Step 2: Convert to fraction form
    3,956/5,925.08 = 2,969.92/x
  3. Step 3: Cross multiply
    3,956x = 5,925.08 × 2,969.92
  4. Step 4: Simplify right side
    3,956x = 17,597,013.59
  5. Step 5: Solve for x
    x = 17,597,013.59/3,956
  6. Step 6: Final answer
    x = 4,448.18

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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.