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Finding the Fourth Proportional to 5,656, 8,481.26 and 1,956.94

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Solution

The fourth proportional to 5,656, 8,481.26 and 1,956.94 is: 2,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656 : 8,481.26 = 1,956.94 : x
  2. Step 2: Convert to fraction form
    5,656/8,481.26 = 1,956.94/x
  3. Step 3: Cross multiply
    5,656x = 8,481.26 × 1,956.94
  4. Step 4: Simplify right side
    5,656x = 16,597,316.94
  5. Step 5: Solve for x
    x = 16,597,316.94/5,656
  6. Step 6: Final answer
    x = 2,934.46

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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.